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Finding the Third Proportional to 225,864 and 332,562

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Solution

The third proportional to 225,864 and 332,562 is: 489,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864 : 332,562 = 332,562 : x
  2. Step 2: Convert to fraction form
    225,864/332,562 = 332,562/x
  3. Step 3: Cross multiply
    225,864x = 332,562 × 332,562
  4. Step 4: Simplify right side
    225,864x = 110,597,483,844
  5. Step 5: Solve for x
    x = 110,597,483,844/225,864
  6. Step 6: Final answer
    x = 489,664.06

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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.