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Finding the Third Proportional to 225,837 and 332,517

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Solution

The third proportional to 225,837 and 332,517 is: 489,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,837 : 332,517 = 332,517 : x
  2. Step 2: Convert to fraction form
    225,837/332,517 = 332,517/x
  3. Step 3: Cross multiply
    225,837x = 332,517 × 332,517
  4. Step 4: Simplify right side
    225,837x = 110,567,555,289
  5. Step 5: Solve for x
    x = 110,567,555,289/225,837
  6. Step 6: Final answer
    x = 489,590.08

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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.