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Finding the Third Proportional to 267,905 and 363,850

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Solution

The third proportional to 267,905 and 363,850 is: 494,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,905 : 363,850 = 363,850 : x
  2. Step 2: Convert to fraction form
    267,905/363,850 = 363,850/x
  3. Step 3: Cross multiply
    267,905x = 363,850 × 363,850
  4. Step 4: Simplify right side
    267,905x = 132,386,822,500
  5. Step 5: Solve for x
    x = 132,386,822,500/267,905
  6. Step 6: Final answer
    x = 494,155.85

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