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Finding the Third Proportional to 184.38 and 252.56

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Solution

The third proportional to 184.38 and 252.56 is: 345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.38 : 252.56 = 252.56 : x
  2. Step 2: Convert to fraction form
    184.38/252.56 = 252.56/x
  3. Step 3: Cross multiply
    184.38x = 252.56 × 252.56
  4. Step 4: Simplify right side
    184.38x = 63,787.82
  5. Step 5: Solve for x
    x = 63,787.82/184.38
  6. Step 6: Final answer
    x = 345.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.