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Finding the Third Proportional to 81.75 and 184.25

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Solution

The third proportional to 81.75 and 184.25 is: 415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 184.25 = 184.25 : x
  2. Step 2: Convert to fraction form
    81.75/184.25 = 184.25/x
  3. Step 3: Cross multiply
    81.75x = 184.25 × 184.25
  4. Step 4: Simplify right side
    81.75x = 33,948.06
  5. Step 5: Solve for x
    x = 33,948.06/81.75
  6. Step 6: Final answer
    x = 415.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.