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Finding the Third Proportional to 171,782 and 267,489

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Solution

The third proportional to 171,782 and 267,489 is: 416,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,782 : 267,489 = 267,489 : x
  2. Step 2: Convert to fraction form
    171,782/267,489 = 267,489/x
  3. Step 3: Cross multiply
    171,782x = 267,489 × 267,489
  4. Step 4: Simplify right side
    171,782x = 71,550,365,121
  5. Step 5: Solve for x
    x = 71,550,365,121/171,782
  6. Step 6: Final answer
    x = 416,518.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.