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Finding the Third Proportional to 84,531 and 171,384

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Solution

The third proportional to 84,531 and 171,384 is: 347,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,531 : 171,384 = 171,384 : x
  2. Step 2: Convert to fraction form
    84,531/171,384 = 171,384/x
  3. Step 3: Cross multiply
    84,531x = 171,384 × 171,384
  4. Step 4: Simplify right side
    84,531x = 29,372,475,456
  5. Step 5: Solve for x
    x = 29,372,475,456/84,531
  6. Step 6: Final answer
    x = 347,475.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.