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Finding the Third Proportional to 98.25 and 200.94

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Solution

The third proportional to 98.25 and 200.94 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 200.94 = 200.94 : x
  2. Step 2: Convert to fraction form
    98.25/200.94 = 200.94/x
  3. Step 3: Cross multiply
    98.25x = 200.94 × 200.94
  4. Step 4: Simplify right side
    98.25x = 40,375.88
  5. Step 5: Solve for x
    x = 40,375.88/98.25
  6. Step 6: Final answer
    x = 410.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.