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Finding the Third Proportional to 168,976 and 252,958

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Solution

The third proportional to 168,976 and 252,958 is: 378,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,976 : 252,958 = 252,958 : x
  2. Step 2: Convert to fraction form
    168,976/252,958 = 252,958/x
  3. Step 3: Cross multiply
    168,976x = 252,958 × 252,958
  4. Step 4: Simplify right side
    168,976x = 63,987,749,764
  5. Step 5: Solve for x
    x = 63,987,749,764/168,976
  6. Step 6: Final answer
    x = 378,679.52

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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.