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Finding the Third Proportional to 267,132.94 and 391,951.41

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Solution

The third proportional to 267,132.94 and 391,951.41 is: 575,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,132.94 : 391,951.41 = 391,951.41 : x
  2. Step 2: Convert to fraction form
    267,132.94/391,951.41 = 391,951.41/x
  3. Step 3: Cross multiply
    267,132.94x = 391,951.41 × 391,951.41
  4. Step 4: Simplify right side
    267,132.94x = 153,625,904,861.35
  5. Step 5: Solve for x
    x = 153,625,904,861.35/267,132.94
  6. Step 6: Final answer
    x = 575,091.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.