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Finding the Third Proportional to 171,182.11 and 267,136.26

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Solution

The third proportional to 171,182.11 and 267,136.26 is: 416,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,182.11 : 267,136.26 = 267,136.26 : x
  2. Step 2: Convert to fraction form
    171,182.11/267,136.26 = 267,136.26/x
  3. Step 3: Cross multiply
    171,182.11x = 267,136.26 × 267,136.26
  4. Step 4: Simplify right side
    171,182.11x = 71,361,781,281.56
  5. Step 5: Solve for x
    x = 71,361,781,281.56/171,182.11
  6. Step 6: Final answer
    x = 416,876.40

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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.