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Finding the Third Proportional to 146,103.75 and 220,115.25

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Solution

The third proportional to 146,103.75 and 220,115.25 is: 331,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,103.75 : 220,115.25 = 220,115.25 : x
  2. Step 2: Convert to fraction form
    146,103.75/220,115.25 = 220,115.25/x
  3. Step 3: Cross multiply
    146,103.75x = 220,115.25 × 220,115.25
  4. Step 4: Simplify right side
    146,103.75x = 48,450,723,282.56
  5. Step 5: Solve for x
    x = 48,450,723,282.56/146,103.75
  6. Step 6: Final answer
    x = 331,618.62

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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.