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Finding the Third Proportional to 179.16 and 413.81

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Solution

The third proportional to 179.16 and 413.81 is: 955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 413.81 = 413.81 : x
  2. Step 2: Convert to fraction form
    179.16/413.81 = 413.81/x
  3. Step 3: Cross multiply
    179.16x = 413.81 × 413.81
  4. Step 4: Simplify right side
    179.16x = 171,240.79
  5. Step 5: Solve for x
    x = 171,240.79/179.16
  6. Step 6: Final answer
    x = 955.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.