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Finding the Third Proportional to 94.57 and 197.72

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Solution

The third proportional to 94.57 and 197.72 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 197.72 = 197.72 : x
  2. Step 2: Convert to fraction form
    94.57/197.72 = 197.72/x
  3. Step 3: Cross multiply
    94.57x = 197.72 × 197.72
  4. Step 4: Simplify right side
    94.57x = 39,092.70
  5. Step 5: Solve for x
    x = 39,092.70/94.57
  6. Step 6: Final answer
    x = 413.37

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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.