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Finding the Third Proportional to 267,848 and 363,771

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Solution

The third proportional to 267,848 and 363,771 is: 494,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,848 : 363,771 = 363,771 : x
  2. Step 2: Convert to fraction form
    267,848/363,771 = 363,771/x
  3. Step 3: Cross multiply
    267,848x = 363,771 × 363,771
  4. Step 4: Simplify right side
    267,848x = 132,329,340,441
  5. Step 5: Solve for x
    x = 132,329,340,441/267,848
  6. Step 6: Final answer
    x = 494,046.40

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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.