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Finding the Third Proportional to 173.38 and 413.94

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Solution

The third proportional to 173.38 and 413.94 is: 988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.38 : 413.94 = 413.94 : x
  2. Step 2: Convert to fraction form
    173.38/413.94 = 413.94/x
  3. Step 3: Cross multiply
    173.38x = 413.94 × 413.94
  4. Step 4: Simplify right side
    173.38x = 171,344.25
  5. Step 5: Solve for x
    x = 171,344.25/173.38
  6. Step 6: Final answer
    x = 988.29

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.