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Finding the Third Proportional to 224,203 and 327,682

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Solution

The third proportional to 224,203 and 327,682 is: 478,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,203 : 327,682 = 327,682 : x
  2. Step 2: Convert to fraction form
    224,203/327,682 = 327,682/x
  3. Step 3: Cross multiply
    224,203x = 327,682 × 327,682
  4. Step 4: Simplify right side
    224,203x = 107,375,493,124
  5. Step 5: Solve for x
    x = 107,375,493,124/224,203
  6. Step 6: Final answer
    x = 478,920.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.