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Finding the Third Proportional to 157,084.13 and 339,073.31

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Solution

The third proportional to 157,084.13 and 339,073.31 is: 731,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.13 : 339,073.31 = 339,073.31 : x
  2. Step 2: Convert to fraction form
    157,084.13/339,073.31 = 339,073.31/x
  3. Step 3: Cross multiply
    157,084.13x = 339,073.31 × 339,073.31
  4. Step 4: Simplify right side
    157,084.13x = 114,970,711,249.72
  5. Step 5: Solve for x
    x = 114,970,711,249.72/157,084.13
  6. Step 6: Final answer
    x = 731,905.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.