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Finding the Third Proportional to 172,452 and 267,644

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Solution

The third proportional to 172,452 and 267,644 is: 415,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,452 : 267,644 = 267,644 : x
  2. Step 2: Convert to fraction form
    172,452/267,644 = 267,644/x
  3. Step 3: Cross multiply
    172,452x = 267,644 × 267,644
  4. Step 4: Simplify right side
    172,452x = 71,633,310,736
  5. Step 5: Solve for x
    x = 71,633,310,736/172,452
  6. Step 6: Final answer
    x = 415,381.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.