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Finding the Third Proportional to 146,976 and 220,662

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Solution

The third proportional to 146,976 and 220,662 is: 331,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,976 : 220,662 = 220,662 : x
  2. Step 2: Convert to fraction form
    146,976/220,662 = 220,662/x
  3. Step 3: Cross multiply
    146,976x = 220,662 × 220,662
  4. Step 4: Simplify right side
    146,976x = 48,691,718,244
  5. Step 5: Solve for x
    x = 48,691,718,244/146,976
  6. Step 6: Final answer
    x = 331,290.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.