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Finding the Third Proportional to 168,959 and 252,939

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Solution

The third proportional to 168,959 and 252,939 is: 378,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,959 : 252,939 = 252,939 : x
  2. Step 2: Convert to fraction form
    168,959/252,939 = 252,939/x
  3. Step 3: Cross multiply
    168,959x = 252,939 × 252,939
  4. Step 4: Simplify right side
    168,959x = 63,978,137,721
  5. Step 5: Solve for x
    x = 63,978,137,721/168,959
  6. Step 6: Final answer
    x = 378,660.73

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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.