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Finding the Third Proportional to 267,928 and 363,880

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Solution

The third proportional to 267,928 and 363,880 is: 494,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,928 : 363,880 = 363,880 : x
  2. Step 2: Convert to fraction form
    267,928/363,880 = 363,880/x
  3. Step 3: Cross multiply
    267,928x = 363,880 × 363,880
  4. Step 4: Simplify right side
    267,928x = 132,408,654,400
  5. Step 5: Solve for x
    x = 132,408,654,400/267,928
  6. Step 6: Final answer
    x = 494,194.91

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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.