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Finding the Third Proportional to 184.22 and 400.97

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Solution

The third proportional to 184.22 and 400.97 is: 872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.22 : 400.97 = 400.97 : x
  2. Step 2: Convert to fraction form
    184.22/400.97 = 400.97/x
  3. Step 3: Cross multiply
    184.22x = 400.97 × 400.97
  4. Step 4: Simplify right side
    184.22x = 160,775.94
  5. Step 5: Solve for x
    x = 160,775.94/184.22
  6. Step 6: Final answer
    x = 872.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.