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Finding the Third Proportional to 94.51 and 197.69

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Solution

The third proportional to 94.51 and 197.69 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.51 : 197.69 = 197.69 : x
  2. Step 2: Convert to fraction form
    94.51/197.69 = 197.69/x
  3. Step 3: Cross multiply
    94.51x = 197.69 × 197.69
  4. Step 4: Simplify right side
    94.51x = 39,079.96
  5. Step 5: Solve for x
    x = 39,079.96/94.51
  6. Step 6: Final answer
    x = 413.49

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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.