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Finding the Third Proportional to 157,565.25 and 337,279.50

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Solution

The third proportional to 157,565.25 and 337,279.50 is: 721,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,565.25 : 337,279.50 = 337,279.50 : x
  2. Step 2: Convert to fraction form
    157,565.25/337,279.50 = 337,279.50/x
  3. Step 3: Cross multiply
    157,565.25x = 337,279.50 × 337,279.50
  4. Step 4: Simplify right side
    157,565.25x = 113,757,461,120.25
  5. Step 5: Solve for x
    x = 113,757,461,120.25/157,565.25
  6. Step 6: Final answer
    x = 721,970.49

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Why These Related Problems?

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