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Finding the Third Proportional to 171,810 and 267,191

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Solution

The third proportional to 171,810 and 267,191 is: 415,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,810 : 267,191 = 267,191 : x
  2. Step 2: Convert to fraction form
    171,810/267,191 = 267,191/x
  3. Step 3: Cross multiply
    171,810x = 267,191 × 267,191
  4. Step 4: Simplify right side
    171,810x = 71,391,030,481
  5. Step 5: Solve for x
    x = 71,391,030,481/171,810
  6. Step 6: Final answer
    x = 415,523.14

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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.