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Finding the Third Proportional to 220,052.25 and 326,081.25

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Solution

The third proportional to 220,052.25 and 326,081.25 is: 483,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,052.25 : 326,081.25 = 326,081.25 : x
  2. Step 2: Convert to fraction form
    220,052.25/326,081.25 = 326,081.25/x
  3. Step 3: Cross multiply
    220,052.25x = 326,081.25 × 326,081.25
  4. Step 4: Simplify right side
    220,052.25x = 106,328,981,601.56
  5. Step 5: Solve for x
    x = 106,328,981,601.56/220,052.25
  6. Step 6: Final answer
    x = 483,198.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.