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Finding the Third Proportional to 225,868.50 and 332,565.75

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Solution

The third proportional to 225,868.50 and 332,565.75 is: 489,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,868.50 : 332,565.75 = 332,565.75 : x
  2. Step 2: Convert to fraction form
    225,868.50/332,565.75 = 332,565.75/x
  3. Step 3: Cross multiply
    225,868.50x = 332,565.75 × 332,565.75
  4. Step 4: Simplify right side
    225,868.50x = 110,599,978,073.06
  5. Step 5: Solve for x
    x = 110,599,978,073.06/225,868.50
  6. Step 6: Final answer
    x = 489,665.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.