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Finding the Third Proportional to 146,121 and 220,761

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Solution

The third proportional to 146,121 and 220,761 is: 333,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,121 : 220,761 = 220,761 : x
  2. Step 2: Convert to fraction form
    146,121/220,761 = 220,761/x
  3. Step 3: Cross multiply
    146,121x = 220,761 × 220,761
  4. Step 4: Simplify right side
    146,121x = 48,735,419,121
  5. Step 5: Solve for x
    x = 48,735,419,121/146,121
  6. Step 6: Final answer
    x = 333,527.82

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Why These Related Problems?

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