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Finding the Third Proportional to 184.43 and 397.27

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Solution

The third proportional to 184.43 and 397.27 is: 855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.43 : 397.27 = 397.27 : x
  2. Step 2: Convert to fraction form
    184.43/397.27 = 397.27/x
  3. Step 3: Cross multiply
    184.43x = 397.27 × 397.27
  4. Step 4: Simplify right side
    184.43x = 157,819.98
  5. Step 5: Solve for x
    x = 157,819.98/184.43
  6. Step 6: Final answer
    x = 855.72

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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.