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Finding the Third Proportional to 267,630 and 363,294

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Solution

The third proportional to 267,630 and 363,294 is: 493,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,630 : 363,294 = 363,294 : x
  2. Step 2: Convert to fraction form
    267,630/363,294 = 363,294/x
  3. Step 3: Cross multiply
    267,630x = 363,294 × 363,294
  4. Step 4: Simplify right side
    267,630x = 131,982,530,436
  5. Step 5: Solve for x
    x = 131,982,530,436/267,630
  6. Step 6: Final answer
    x = 493,152.97

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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.