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Finding the Third Proportional to 267,909 and 363,841.50

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Solution

The third proportional to 267,909 and 363,841.50 is: 494,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,909 : 363,841.50 = 363,841.50 : x
  2. Step 2: Convert to fraction form
    267,909/363,841.50 = 363,841.50/x
  3. Step 3: Cross multiply
    267,909x = 363,841.50 × 363,841.50
  4. Step 4: Simplify right side
    267,909x = 132,380,637,122.25
  5. Step 5: Solve for x
    x = 132,380,637,122.25/267,909
  6. Step 6: Final answer
    x = 494,125.38

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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.