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Finding the Third Proportional to 150,118 and 329,761

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Solution

The third proportional to 150,118 and 329,761 is: 724,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,118 : 329,761 = 329,761 : x
  2. Step 2: Convert to fraction form
    150,118/329,761 = 329,761/x
  3. Step 3: Cross multiply
    150,118x = 329,761 × 329,761
  4. Step 4: Simplify right side
    150,118x = 108,742,317,121
  5. Step 5: Solve for x
    x = 108,742,317,121/150,118
  6. Step 6: Final answer
    x = 724,378.94

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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.