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Finding the Third Proportional to 126,265.50 and 272,560.78

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Solution

The third proportional to 126,265.50 and 272,560.78 is: 588,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,265.50 : 272,560.78 = 272,560.78 : x
  2. Step 2: Convert to fraction form
    126,265.50/272,560.78 = 272,560.78/x
  3. Step 3: Cross multiply
    126,265.50x = 272,560.78 × 272,560.78
  4. Step 4: Simplify right side
    126,265.50x = 74,289,379,475.61
  5. Step 5: Solve for x
    x = 74,289,379,475.61/126,265.50
  6. Step 6: Final answer
    x = 588,358.49

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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.