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Finding the Third Proportional to 168,223.88 and 252,342.56

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Solution

The third proportional to 168,223.88 and 252,342.56 is: 378,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,223.88 : 252,342.56 = 252,342.56 : x
  2. Step 2: Convert to fraction form
    168,223.88/252,342.56 = 252,342.56/x
  3. Step 3: Cross multiply
    168,223.88x = 252,342.56 × 252,342.56
  4. Step 4: Simplify right side
    168,223.88x = 63,676,768,849.07
  5. Step 5: Solve for x
    x = 63,676,768,849.07/168,223.88
  6. Step 6: Final answer
    x = 378,523.97

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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.