To increase 70 into the ratio 3:2, we need to break 70 into parts that reflect the ratio of 3:2. This means that for every 5 parts (3 + 2), 3 parts should go to the first number, and 2 parts should go to the second number.

Steps:

1. Find the total number of parts: The ratio 3:2 consists of 5 parts in total (3 + 2).
2. Calculate the value of one part: $\text{Value of one part} = \frac{70}{5} = 14$
3. Distribute the value:
   • The first part (3 parts) gets: $3 \times 14 = 42$
   • The second part (2 parts) gets: $2 \times 14 = 28$

So, 70 is divided into 42 and 28 in the ratio 3:2.

Would you like more details or have any questions on this?

Here are some related questions:

1. How do you convert a ratio into percentages?
2. How do you simplify ratios with larger numbers?
3. What is the relationship between ratios and proportions?
4. How can you solve problems involving inverse ratios?
5. How do you work with ratios in algebraic expressions?

Tip: When dealing with ratios, always ensure that the total of the parts matches the total amount you're working with (in this case, 70).