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Finding the Third Proportional to 146,059 and 220,667

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Solution

The third proportional to 146,059 and 220,667 is: 333,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,059 : 220,667 = 220,667 : x
  2. Step 2: Convert to fraction form
    146,059/220,667 = 220,667/x
  3. Step 3: Cross multiply
    146,059x = 220,667 × 220,667
  4. Step 4: Simplify right side
    146,059x = 48,693,924,889
  5. Step 5: Solve for x
    x = 48,693,924,889/146,059
  6. Step 6: Final answer
    x = 333,385.31

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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.