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The problem states that the ratio of votes received by the three candidates in a school election was \(1:2:3\), and the winning candidate (the one with the most votes) received 210 votes. We need to determine the total number of people who voted in the election.

### Step-by-Step Solution:

1. Let the votes received by the three candidates be proportional to \(1x\), \(2x\), and \(3x\), where \(x\) is a constant.
2. The winning candidate received 210 votes. Since the winner is the candidate with the ratio \(3x\), we have the equation:
   \[
   3x = 210
   \]
3. Solve for \(x\):
   \[
   x = \frac{210}{3} = 70
   \]
4. Now, calculate the total number of votes. The total number of votes is the sum of the votes received by all three candidates:
   \[
   1x + 2x + 3x = 6x
   \]
5. Substitute \(x = 70\) into the equation:
   \[
   6 \times 70 = 420
   \]

### Final Answer:
The total number of people who voted in the election is **420**.

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Would you like further details or have any questions?

Here are some related questions to expand on this concept:

1. If the ratio had been \(2:3:4\) and the winning candidate received 240 votes, how many people voted?
2. How does the total number of votes change if the ratio between the candidates’ votes doubles?
3. What if the ratio was \(1:2:4\) and the winning candidate received 280 votes?
4. How would the calculations differ if the number of candidates increased to four with a ratio of \(1:2:3:4\)?
5. Can you generalize a formula to determine total votes for any ratio and winner's votes?

**Tip**: Ratios are often used in questions involving proportional distribution. Keep in mind that they represent parts of a whole and can be scaled to find unknowns like total amounts.

The ratio of votes received by the three candidates in a school election was 1:2:3. If the winning candidate received 210 votes, how many people voted in the election?

Learn how to calculate the total number of people who voted in a school election given the vote ratio of 1:2:3 and that the winning candidate received 210 votes. A step-by-step solution suitable for students in Grades 6-8, using basic algebra and ratios.

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