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Finding the Third Proportional to 146,155.50 and 220,812.75

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Solution

The third proportional to 146,155.50 and 220,812.75 is: 333,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,155.50 : 220,812.75 = 220,812.75 : x
  2. Step 2: Convert to fraction form
    146,155.50/220,812.75 = 220,812.75/x
  3. Step 3: Cross multiply
    146,155.50x = 220,812.75 × 220,812.75
  4. Step 4: Simplify right side
    146,155.50x = 48,758,270,562.56
  5. Step 5: Solve for x
    x = 48,758,270,562.56/146,155.50
  6. Step 6: Final answer
    x = 333,605.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.