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Finding the Third Proportional to 141,874 and 267,344

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Solution

The third proportional to 141,874 and 267,344 is: 503,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,874 : 267,344 = 267,344 : x
  2. Step 2: Convert to fraction form
    141,874/267,344 = 267,344/x
  3. Step 3: Cross multiply
    141,874x = 267,344 × 267,344
  4. Step 4: Simplify right side
    141,874x = 71,472,814,336
  5. Step 5: Solve for x
    x = 71,472,814,336/141,874
  6. Step 6: Final answer
    x = 503,776.69

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.