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Finding the Third Proportional to 220,446 and 330,183

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Solution

The third proportional to 220,446 and 330,183 is: 494,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,446 : 330,183 = 330,183 : x
  2. Step 2: Convert to fraction form
    220,446/330,183 = 330,183/x
  3. Step 3: Cross multiply
    220,446x = 330,183 × 330,183
  4. Step 4: Simplify right side
    220,446x = 109,020,813,489
  5. Step 5: Solve for x
    x = 109,020,813,489/220,446
  6. Step 6: Final answer
    x = 494,546.57

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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.