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Finding the Third Proportional to 225,797.07 and 332,458.17

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Solution

The third proportional to 225,797.07 and 332,458.17 is: 489,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,797.07 : 332,458.17 = 332,458.17 : x
  2. Step 2: Convert to fraction form
    225,797.07/332,458.17 = 332,458.17/x
  3. Step 3: Cross multiply
    225,797.07x = 332,458.17 × 332,458.17
  4. Step 4: Simplify right side
    225,797.07x = 110,528,436,046.47
  5. Step 5: Solve for x
    x = 110,528,436,046.47/225,797.07
  6. Step 6: Final answer
    x = 489,503.41

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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.