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Finding the Third Proportional to 150,117.75 and 329,757.75

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Solution

The third proportional to 150,117.75 and 329,757.75 is: 724,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,117.75 : 329,757.75 = 329,757.75 : x
  2. Step 2: Convert to fraction form
    150,117.75/329,757.75 = 329,757.75/x
  3. Step 3: Cross multiply
    150,117.75x = 329,757.75 × 329,757.75
  4. Step 4: Simplify right side
    150,117.75x = 108,740,173,685.06
  5. Step 5: Solve for x
    x = 108,740,173,685.06/150,117.75
  6. Step 6: Final answer
    x = 724,365.86

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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.