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Finding the Third Proportional to 267,668 and 363,348

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Solution

The third proportional to 267,668 and 363,348 is: 493,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,668 : 363,348 = 363,348 : x
  2. Step 2: Convert to fraction form
    267,668/363,348 = 363,348/x
  3. Step 3: Cross multiply
    267,668x = 363,348 × 363,348
  4. Step 4: Simplify right side
    267,668x = 132,021,769,104
  5. Step 5: Solve for x
    x = 132,021,769,104/267,668
  6. Step 6: Final answer
    x = 493,229.56

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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.