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Finding the Third Proportional to 225,823.50 and 332,497.13

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Solution

The third proportional to 225,823.50 and 332,497.13 is: 489,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,823.50 : 332,497.13 = 332,497.13 : x
  2. Step 2: Convert to fraction form
    225,823.50/332,497.13 = 332,497.13/x
  3. Step 3: Cross multiply
    225,823.50x = 332,497.13 × 332,497.13
  4. Step 4: Simplify right side
    225,823.50x = 110,554,338,133.27
  5. Step 5: Solve for x
    x = 110,554,338,133.27/225,823.50
  6. Step 6: Final answer
    x = 489,560.82

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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.