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Finding the Third Proportional to 157,354.31 and 339,586.17

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Solution

The third proportional to 157,354.31 and 339,586.17 is: 732,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,354.31 : 339,586.17 = 339,586.17 : x
  2. Step 2: Convert to fraction form
    157,354.31/339,586.17 = 339,586.17/x
  3. Step 3: Cross multiply
    157,354.31x = 339,586.17 × 339,586.17
  4. Step 4: Simplify right side
    157,354.31x = 115,318,768,128.72
  5. Step 5: Solve for x
    x = 115,318,768,128.72/157,354.31
  6. Step 6: Final answer
    x = 732,860.55

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Why These Related Problems?

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