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Finding the Third Proportional to 171,466 and 272,847

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Solution

The third proportional to 171,466 and 272,847 is: 434,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,466 : 272,847 = 272,847 : x
  2. Step 2: Convert to fraction form
    171,466/272,847 = 272,847/x
  3. Step 3: Cross multiply
    171,466x = 272,847 × 272,847
  4. Step 4: Simplify right side
    171,466x = 74,445,485,409
  5. Step 5: Solve for x
    x = 74,445,485,409/171,466
  6. Step 6: Final answer
    x = 434,170.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.