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Finding the Third Proportional to 172,940 and 378,685

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Solution

The third proportional to 172,940 and 378,685 is: 829,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,940 : 378,685 = 378,685 : x
  2. Step 2: Convert to fraction form
    172,940/378,685 = 378,685/x
  3. Step 3: Cross multiply
    172,940x = 378,685 × 378,685
  4. Step 4: Simplify right side
    172,940x = 143,402,329,225
  5. Step 5: Solve for x
    x = 143,402,329,225/172,940
  6. Step 6: Final answer
    x = 829,202.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.