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Finding the Third Proportional to 150,164 and 329,860

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Solution

The third proportional to 150,164 and 329,860 is: 724,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,164 : 329,860 = 329,860 : x
  2. Step 2: Convert to fraction form
    150,164/329,860 = 329,860/x
  3. Step 3: Cross multiply
    150,164x = 329,860 × 329,860
  4. Step 4: Simplify right side
    150,164x = 108,807,619,600
  5. Step 5: Solve for x
    x = 108,807,619,600/150,164
  6. Step 6: Final answer
    x = 724,591.91

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