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Finding the Third Proportional to 146,576.25 and 220,227.75

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Solution

The third proportional to 146,576.25 and 220,227.75 is: 330,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,576.25 : 220,227.75 = 220,227.75 : x
  2. Step 2: Convert to fraction form
    146,576.25/220,227.75 = 220,227.75/x
  3. Step 3: Cross multiply
    146,576.25x = 220,227.75 × 220,227.75
  4. Step 4: Simplify right side
    146,576.25x = 48,500,261,870.06
  5. Step 5: Solve for x
    x = 48,500,261,870.06/146,576.25
  6. Step 6: Final answer
    x = 330,887.59

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Why These Related Problems?

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