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Finding the Third Proportional to 221,493 and 332,170

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Solution

The third proportional to 221,493 and 332,170 is: 498,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,493 : 332,170 = 332,170 : x
  2. Step 2: Convert to fraction form
    221,493/332,170 = 332,170/x
  3. Step 3: Cross multiply
    221,493x = 332,170 × 332,170
  4. Step 4: Simplify right side
    221,493x = 110,336,908,900
  5. Step 5: Solve for x
    x = 110,336,908,900/221,493
  6. Step 6: Final answer
    x = 498,150.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.