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Finding the Third Proportional to 168,972 and 252,952

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Solution

The third proportional to 168,972 and 252,952 is: 378,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,972 : 252,952 = 252,952 : x
  2. Step 2: Convert to fraction form
    168,972/252,952 = 252,952/x
  3. Step 3: Cross multiply
    168,972x = 252,952 × 252,952
  4. Step 4: Simplify right side
    168,972x = 63,984,714,304
  5. Step 5: Solve for x
    x = 63,984,714,304/168,972
  6. Step 6: Final answer
    x = 378,670.52

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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.