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Finding the Third Proportional to 94.31 and 184.97

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Solution

The third proportional to 94.31 and 184.97 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 184.97 = 184.97 : x
  2. Step 2: Convert to fraction form
    94.31/184.97 = 184.97/x
  3. Step 3: Cross multiply
    94.31x = 184.97 × 184.97
  4. Step 4: Simplify right side
    94.31x = 34,213.44
  5. Step 5: Solve for x
    x = 34,213.44/94.31
  6. Step 6: Final answer
    x = 362.77

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.