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Finding the Third Proportional to 150,863.13 and 329,752.90

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Solution

The third proportional to 150,863.13 and 329,752.90 is: 720,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,863.13 : 329,752.90 = 329,752.90 : x
  2. Step 2: Convert to fraction form
    150,863.13/329,752.90 = 329,752.90/x
  3. Step 3: Cross multiply
    150,863.13x = 329,752.90 × 329,752.90
  4. Step 4: Simplify right side
    150,863.13x = 108,736,974,027.93
  5. Step 5: Solve for x
    x = 108,736,974,027.93/150,863.13
  6. Step 6: Final answer
    x = 720,765.72

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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.