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Finding the Third Proportional to 146,928.50 and 218,232.75

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Solution

The third proportional to 146,928.50 and 218,232.75 is: 324,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,928.50 : 218,232.75 = 218,232.75 : x
  2. Step 2: Convert to fraction form
    146,928.50/218,232.75 = 218,232.75/x
  3. Step 3: Cross multiply
    146,928.50x = 218,232.75 × 218,232.75
  4. Step 4: Simplify right side
    146,928.50x = 47,625,533,172.56
  5. Step 5: Solve for x
    x = 47,625,533,172.56/146,928.50
  6. Step 6: Final answer
    x = 324,140.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.