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Finding the Third Proportional to 267,902 and 363,846

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Solution

The third proportional to 267,902 and 363,846 is: 494,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,902 : 363,846 = 363,846 : x
  2. Step 2: Convert to fraction form
    267,902/363,846 = 363,846/x
  3. Step 3: Cross multiply
    267,902x = 363,846 × 363,846
  4. Step 4: Simplify right side
    267,902x = 132,383,911,716
  5. Step 5: Solve for x
    x = 132,383,911,716/267,902
  6. Step 6: Final answer
    x = 494,150.52

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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.