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Finding the Third Proportional to 171,828 and 252,616

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Solution

The third proportional to 171,828 and 252,616 is: 371,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828 : 252,616 = 252,616 : x
  2. Step 2: Convert to fraction form
    171,828/252,616 = 252,616/x
  3. Step 3: Cross multiply
    171,828x = 252,616 × 252,616
  4. Step 4: Simplify right side
    171,828x = 63,814,843,456
  5. Step 5: Solve for x
    x = 63,814,843,456/171,828
  6. Step 6: Final answer
    x = 371,387.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.