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Finding the Third Proportional to 100,560 and 198,582

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Solution

The third proportional to 100,560 and 198,582 is: 392,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,560 : 198,582 = 198,582 : x
  2. Step 2: Convert to fraction form
    100,560/198,582 = 198,582/x
  3. Step 3: Cross multiply
    100,560x = 198,582 × 198,582
  4. Step 4: Simplify right side
    100,560x = 39,434,810,724
  5. Step 5: Solve for x
    x = 39,434,810,724/100,560
  6. Step 6: Final answer
    x = 392,152.06

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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.