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Finding the Third Proportional to 180.88 and 413.50

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Solution

The third proportional to 180.88 and 413.50 is: 945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.88 : 413.50 = 413.50 : x
  2. Step 2: Convert to fraction form
    180.88/413.50 = 413.50/x
  3. Step 3: Cross multiply
    180.88x = 413.50 × 413.50
  4. Step 4: Simplify right side
    180.88x = 170,982.25
  5. Step 5: Solve for x
    x = 170,982.25/180.88
  6. Step 6: Final answer
    x = 945.31

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.