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Finding the Third Proportional to 83,217.75 and 182,004.75

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Solution

The third proportional to 83,217.75 and 182,004.75 is: 398,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.75 : 182,004.75 = 182,004.75 : x
  2. Step 2: Convert to fraction form
    83,217.75/182,004.75 = 182,004.75/x
  3. Step 3: Cross multiply
    83,217.75x = 182,004.75 × 182,004.75
  4. Step 4: Simplify right side
    83,217.75x = 33,125,729,022.56
  5. Step 5: Solve for x
    x = 33,125,729,022.56/83,217.75
  6. Step 6: Final answer
    x = 398,060.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.