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Finding the Third Proportional to 82.75 and 176.88

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Solution

The third proportional to 82.75 and 176.88 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 176.88 = 176.88 : x
  2. Step 2: Convert to fraction form
    82.75/176.88 = 176.88/x
  3. Step 3: Cross multiply
    82.75x = 176.88 × 176.88
  4. Step 4: Simplify right side
    82.75x = 31,284.77
  5. Step 5: Solve for x
    x = 31,284.77/82.75
  6. Step 6: Final answer
    x = 378.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.