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Finding the Third Proportional to 184.50 and 400.92

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Solution

The third proportional to 184.50 and 400.92 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 400.92 = 400.92 : x
  2. Step 2: Convert to fraction form
    184.50/400.92 = 400.92/x
  3. Step 3: Cross multiply
    184.50x = 400.92 × 400.92
  4. Step 4: Simplify right side
    184.50x = 160,738.35
  5. Step 5: Solve for x
    x = 160,738.35/184.50
  6. Step 6: Final answer
    x = 871.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.