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Finding the Third Proportional to 81.84 and 178.03

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Solution

The third proportional to 81.84 and 178.03 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 178.03 = 178.03 : x
  2. Step 2: Convert to fraction form
    81.84/178.03 = 178.03/x
  3. Step 3: Cross multiply
    81.84x = 178.03 × 178.03
  4. Step 4: Simplify right side
    81.84x = 31,695.13
  5. Step 5: Solve for x
    x = 31,695.13/81.84
  6. Step 6: Final answer
    x = 387.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.