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Finding the Third Proportional to 94.92 and 198.28

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Solution

The third proportional to 94.92 and 198.28 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 198.28 = 198.28 : x
  2. Step 2: Convert to fraction form
    94.92/198.28 = 198.28/x
  3. Step 3: Cross multiply
    94.92x = 198.28 × 198.28
  4. Step 4: Simplify right side
    94.92x = 39,315.45
  5. Step 5: Solve for x
    x = 39,315.45/94.92
  6. Step 6: Final answer
    x = 414.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.