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Finding the Third Proportional to 100,558 and 198,576

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Solution

The third proportional to 100,558 and 198,576 is: 392,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,558 : 198,576 = 198,576 : x
  2. Step 2: Convert to fraction form
    100,558/198,576 = 198,576/x
  3. Step 3: Cross multiply
    100,558x = 198,576 × 198,576
  4. Step 4: Simplify right side
    100,558x = 39,432,427,776
  5. Step 5: Solve for x
    x = 39,432,427,776/100,558
  6. Step 6: Final answer
    x = 392,136.16

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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.