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Finding the Third Proportional to 267,898.50 and 363,835.13

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Solution

The third proportional to 267,898.50 and 363,835.13 is: 494,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,898.50 : 363,835.13 = 363,835.13 : x
  2. Step 2: Convert to fraction form
    267,898.50/363,835.13 = 363,835.13/x
  3. Step 3: Cross multiply
    267,898.50x = 363,835.13 × 363,835.13
  4. Step 4: Simplify right side
    267,898.50x = 132,375,998,183.77
  5. Step 5: Solve for x
    x = 132,375,998,183.77/267,898.50
  6. Step 6: Final answer
    x = 494,127.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.