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Finding the Third Proportional to 100,582 and 198,620

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Solution

The third proportional to 100,582 and 198,620 is: 392,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582 : 198,620 = 198,620 : x
  2. Step 2: Convert to fraction form
    100,582/198,620 = 198,620/x
  3. Step 3: Cross multiply
    100,582x = 198,620 × 198,620
  4. Step 4: Simplify right side
    100,582x = 39,449,904,400
  5. Step 5: Solve for x
    x = 39,449,904,400/100,582
  6. Step 6: Final answer
    x = 392,216.34

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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.