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Finding the Third Proportional to 168,775 and 252,979

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Solution

The third proportional to 168,775 and 252,979 is: 379,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,775 : 252,979 = 252,979 : x
  2. Step 2: Convert to fraction form
    168,775/252,979 = 252,979/x
  3. Step 3: Cross multiply
    168,775x = 252,979 × 252,979
  4. Step 4: Simplify right side
    168,775x = 63,998,374,441
  5. Step 5: Solve for x
    x = 63,998,374,441/168,775
  6. Step 6: Final answer
    x = 379,193.45

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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.