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Finding the Third Proportional to 193,732.25 and 426,769.75

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Solution

The third proportional to 193,732.25 and 426,769.75 is: 940,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,732.25 : 426,769.75 = 426,769.75 : x
  2. Step 2: Convert to fraction form
    193,732.25/426,769.75 = 426,769.75/x
  3. Step 3: Cross multiply
    193,732.25x = 426,769.75 × 426,769.75
  4. Step 4: Simplify right side
    193,732.25x = 182,132,419,515.06
  5. Step 5: Solve for x
    x = 182,132,419,515.06/193,732.25
  6. Step 6: Final answer
    x = 940,124.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.