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Finding the Third Proportional to 150,789.75 and 331,564.50

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Solution

The third proportional to 150,789.75 and 331,564.50 is: 729,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,789.75 : 331,564.50 = 331,564.50 : x
  2. Step 2: Convert to fraction form
    150,789.75/331,564.50 = 331,564.50/x
  3. Step 3: Cross multiply
    150,789.75x = 331,564.50 × 331,564.50
  4. Step 4: Simplify right side
    150,789.75x = 109,935,017,660.25
  5. Step 5: Solve for x
    x = 109,935,017,660.25/150,789.75
  6. Step 6: Final answer
    x = 729,061.61

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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.