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Finding the Third Proportional to 168,300 and 252,882

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Solution

The third proportional to 168,300 and 252,882 is: 379,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,300 : 252,882 = 252,882 : x
  2. Step 2: Convert to fraction form
    168,300/252,882 = 252,882/x
  3. Step 3: Cross multiply
    168,300x = 252,882 × 252,882
  4. Step 4: Simplify right side
    168,300x = 63,949,305,924
  5. Step 5: Solve for x
    x = 63,949,305,924/168,300
  6. Step 6: Final answer
    x = 379,972.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.