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Finding the Third Proportional to 157,936.50 and 337,581

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Solution

The third proportional to 157,936.50 and 337,581 is: 721,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,936.50 : 337,581 = 337,581 : x
  2. Step 2: Convert to fraction form
    157,936.50/337,581 = 337,581/x
  3. Step 3: Cross multiply
    157,936.50x = 337,581 × 337,581
  4. Step 4: Simplify right side
    157,936.50x = 113,960,931,561
  5. Step 5: Solve for x
    x = 113,960,931,561/157,936.50
  6. Step 6: Final answer
    x = 721,561.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.