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Finding the Third Proportional to 195.42 and 413.27

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Solution

The third proportional to 195.42 and 413.27 is: 873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 413.27 = 413.27 : x
  2. Step 2: Convert to fraction form
    195.42/413.27 = 413.27/x
  3. Step 3: Cross multiply
    195.42x = 413.27 × 413.27
  4. Step 4: Simplify right side
    195.42x = 170,788.88
  5. Step 5: Solve for x
    x = 170,788.88/195.42
  6. Step 6: Final answer
    x = 873.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.