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Finding the Third Proportional to 171,186.75 and 267,142.50

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Solution

The third proportional to 171,186.75 and 267,142.50 is: 416,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,186.75 : 267,142.50 = 267,142.50 : x
  2. Step 2: Convert to fraction form
    171,186.75/267,142.50 = 267,142.50/x
  3. Step 3: Cross multiply
    171,186.75x = 267,142.50 × 267,142.50
  4. Step 4: Simplify right side
    171,186.75x = 71,365,115,306.25
  5. Step 5: Solve for x
    x = 71,365,115,306.25/171,186.75
  6. Step 6: Final answer
    x = 416,884.57

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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.