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Finding the Third Proportional to 150,545.25 and 220,164.75

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Solution

The third proportional to 150,545.25 and 220,164.75 is: 321,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,545.25 : 220,164.75 = 220,164.75 : x
  2. Step 2: Convert to fraction form
    150,545.25/220,164.75 = 220,164.75/x
  3. Step 3: Cross multiply
    150,545.25x = 220,164.75 × 220,164.75
  4. Step 4: Simplify right side
    150,545.25x = 48,472,517,142.56
  5. Step 5: Solve for x
    x = 48,472,517,142.56/150,545.25
  6. Step 6: Final answer
    x = 321,979.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.