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Finding the Third Proportional to 168,180.75 and 252,979.88

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Solution

The third proportional to 168,180.75 and 252,979.88 is: 380,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,180.75 : 252,979.88 = 252,979.88 : x
  2. Step 2: Convert to fraction form
    168,180.75/252,979.88 = 252,979.88/x
  3. Step 3: Cross multiply
    168,180.75x = 252,979.88 × 252,979.88
  4. Step 4: Simplify right side
    168,180.75x = 63,998,817,155.02
  5. Step 5: Solve for x
    x = 63,998,817,155.02/168,180.75
  6. Step 6: Final answer
    x = 380,535.92

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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.