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Finding the Third Proportional to 182.84 and 275.04

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Solution

The third proportional to 182.84 and 275.04 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 275.04 = 275.04 : x
  2. Step 2: Convert to fraction form
    182.84/275.04 = 275.04/x
  3. Step 3: Cross multiply
    182.84x = 275.04 × 275.04
  4. Step 4: Simplify right side
    182.84x = 75,644.87
  5. Step 5: Solve for x
    x = 75,644.87/182.84
  6. Step 6: Final answer
    x = 413.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.