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Finding the Third Proportional to 267,870 and 363,801

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Solution

The third proportional to 267,870 and 363,801 is: 494,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,870 : 363,801 = 363,801 : x
  2. Step 2: Convert to fraction form
    267,870/363,801 = 363,801/x
  3. Step 3: Cross multiply
    267,870x = 363,801 × 363,801
  4. Step 4: Simplify right side
    267,870x = 132,351,167,601
  5. Step 5: Solve for x
    x = 132,351,167,601/267,870
  6. Step 6: Final answer
    x = 494,087.31

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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.