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Finding the Third Proportional to 267,930 and 363,883

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Solution

The third proportional to 267,930 and 363,883 is: 494,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,930 : 363,883 = 363,883 : x
  2. Step 2: Convert to fraction form
    267,930/363,883 = 363,883/x
  3. Step 3: Cross multiply
    267,930x = 363,883 × 363,883
  4. Step 4: Simplify right side
    267,930x = 132,410,837,689
  5. Step 5: Solve for x
    x = 132,410,837,689/267,930
  6. Step 6: Final answer
    x = 494,199.37

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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.