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Finding the Third Proportional to 150,180 and 329,892

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Solution

The third proportional to 150,180 and 329,892 is: 724,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,180 : 329,892 = 329,892 : x
  2. Step 2: Convert to fraction form
    150,180/329,892 = 329,892/x
  3. Step 3: Cross multiply
    150,180x = 329,892 × 329,892
  4. Step 4: Simplify right side
    150,180x = 108,828,731,664
  5. Step 5: Solve for x
    x = 108,828,731,664/150,180
  6. Step 6: Final answer
    x = 724,655.29

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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.