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Finding the Third Proportional to 269.20 and 413.91

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Solution

The third proportional to 269.20 and 413.91 is: 636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 413.91 = 413.91 : x
  2. Step 2: Convert to fraction form
    269.20/413.91 = 413.91/x
  3. Step 3: Cross multiply
    269.20x = 413.91 × 413.91
  4. Step 4: Simplify right side
    269.20x = 171,318.38
  5. Step 5: Solve for x
    x = 171,318.38/269.20
  6. Step 6: Final answer
    x = 636.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.