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Finding the Third Proportional to 195.88 and 413.78

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Solution

The third proportional to 195.88 and 413.78 is: 874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.88 : 413.78 = 413.78 : x
  2. Step 2: Convert to fraction form
    195.88/413.78 = 413.78/x
  3. Step 3: Cross multiply
    195.88x = 413.78 × 413.78
  4. Step 4: Simplify right side
    195.88x = 171,214.92
  5. Step 5: Solve for x
    x = 171,214.92/195.88
  6. Step 6: Final answer
    x = 874.10

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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.