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Finding the Third Proportional to 168,049.69 and 252,340.31

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Solution

The third proportional to 168,049.69 and 252,340.31 is: 378,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,049.69 : 252,340.31 = 252,340.31 : x
  2. Step 2: Convert to fraction form
    168,049.69/252,340.31 = 252,340.31/x
  3. Step 3: Cross multiply
    168,049.69x = 252,340.31 × 252,340.31
  4. Step 4: Simplify right side
    168,049.69x = 63,675,633,312.60
  5. Step 5: Solve for x
    x = 63,675,633,312.60/168,049.69
  6. Step 6: Final answer
    x = 378,909.56

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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.