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Finding the Third Proportional to 225,865.13 and 332,552.25

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Solution

The third proportional to 225,865.13 and 332,552.25 is: 489,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.13 : 332,552.25 = 332,552.25 : x
  2. Step 2: Convert to fraction form
    225,865.13/332,552.25 = 332,552.25/x
  3. Step 3: Cross multiply
    225,865.13x = 332,552.25 × 332,552.25
  4. Step 4: Simplify right side
    225,865.13x = 110,590,998,980.06
  5. Step 5: Solve for x
    x = 110,590,998,980.06/225,865.13
  6. Step 6: Final answer
    x = 489,632.91

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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.