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Finding the Third Proportional to 100,584 and 198,624

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Solution

The third proportional to 100,584 and 198,624 is: 392,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 198,624 = 198,624 : x
  2. Step 2: Convert to fraction form
    100,584/198,624 = 198,624/x
  3. Step 3: Cross multiply
    100,584x = 198,624 × 198,624
  4. Step 4: Simplify right side
    100,584x = 39,451,493,376
  5. Step 5: Solve for x
    x = 39,451,493,376/100,584
  6. Step 6: Final answer
    x = 392,224.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.