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Finding the Third Proportional to 171,370 and 267,995

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Solution

The third proportional to 171,370 and 267,995 is: 419,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,370 : 267,995 = 267,995 : x
  2. Step 2: Convert to fraction form
    171,370/267,995 = 267,995/x
  3. Step 3: Cross multiply
    171,370x = 267,995 × 267,995
  4. Step 4: Simplify right side
    171,370x = 71,821,320,025
  5. Step 5: Solve for x
    x = 71,821,320,025/171,370
  6. Step 6: Final answer
    x = 419,100.89

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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.