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Looking at the problem, we need to identify the number that replaces the question mark in the triangular pattern. Each triangle appears to follow a certain rule or mathematical relationship.

### Observing Patterns:
1. The numbers in each triangle interact mathematically to produce a consistent relationship across the examples.
2. It’s likely the sum, difference, or a product of the numbers at the vertices leads to the middle or other values.

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Let me calculate the rule based on the first few examples:

1. **First Triangle** (3, 7, 5):
   - \( 3 + 5 = 7 \).

2. **Second Triangle** (4, 6, 8):
   - \( 4 + 8 = 6 \).

3. **Third Triangle** (2, 9, 8):
   - \( 2 + 8 = 9 \).

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### Fourth Triangle:
Given numbers are \( 2, 7, 3 \):
- If we apply the same logic:
  - \( 2 + 3 = ? \).
  - The missing number is **5**.

**Answer: (c) 5**.

Would you like further clarification or more exploration into the reasoning? Here are some related problems to consider:

1. Can you find alternate patterns in the same triangle setup?
2. How would the solution change if subtraction was applied instead?
3. What happens if a product or ratio is introduced between the numbers?
4. Can this puzzle extend into higher-dimensional geometric figures?
5. What programming logic would solve this type of problem automatically?

**Tip:** Look for multiple rules in puzzles—they often have alternate solutions!

What number should replace the question mark in the triangular pattern?

Learn how to solve a triangular pattern puzzle by identifying arithmetic relationships among the vertices. A step-by-step explanation is provided, suitable for students in Grades 5-7.

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