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Finding the Third Proportional to 150,120 and 329,764.50

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Solution

The third proportional to 150,120 and 329,764.50 is: 724,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120 : 329,764.50 = 329,764.50 : x
  2. Step 2: Convert to fraction form
    150,120/329,764.50 = 329,764.50/x
  3. Step 3: Cross multiply
    150,120x = 329,764.50 × 329,764.50
  4. Step 4: Simplify right side
    150,120x = 108,744,625,460.25
  5. Step 5: Solve for x
    x = 108,744,625,460.25/150,120
  6. Step 6: Final answer
    x = 724,384.66

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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.