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Finding the Third Proportional to 185.27 and 398.95

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Solution

The third proportional to 185.27 and 398.95 is: 859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.27 : 398.95 = 398.95 : x
  2. Step 2: Convert to fraction form
    185.27/398.95 = 398.95/x
  3. Step 3: Cross multiply
    185.27x = 398.95 × 398.95
  4. Step 4: Simplify right side
    185.27x = 159,163.60
  5. Step 5: Solve for x
    x = 159,163.60/185.27
  6. Step 6: Final answer
    x = 859.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.