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Finding the Third Proportional to 142,757.44 and 338,200.31

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Solution

The third proportional to 142,757.44 and 338,200.31 is: 801,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757.44 : 338,200.31 = 338,200.31 : x
  2. Step 2: Convert to fraction form
    142,757.44/338,200.31 = 338,200.31/x
  3. Step 3: Cross multiply
    142,757.44x = 338,200.31 × 338,200.31
  4. Step 4: Simplify right side
    142,757.44x = 114,379,451,375.10
  5. Step 5: Solve for x
    x = 114,379,451,375.10/142,757.44
  6. Step 6: Final answer
    x = 801,215.36

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.