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Finding the Third Proportional to 95.25 and 198.47

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Solution

The third proportional to 95.25 and 198.47 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.25 : 198.47 = 198.47 : x
  2. Step 2: Convert to fraction form
    95.25/198.47 = 198.47/x
  3. Step 3: Cross multiply
    95.25x = 198.47 × 198.47
  4. Step 4: Simplify right side
    95.25x = 39,389.84
  5. Step 5: Solve for x
    x = 39,389.84/95.25
  6. Step 6: Final answer
    x = 413.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.