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Finding the Third Proportional to 182.88 and 426.83

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Solution

The third proportional to 182.88 and 426.83 is: 996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 426.83 = 426.83 : x
  2. Step 2: Convert to fraction form
    182.88/426.83 = 426.83/x
  3. Step 3: Cross multiply
    182.88x = 426.83 × 426.83
  4. Step 4: Simplify right side
    182.88x = 182,185.58
  5. Step 5: Solve for x
    x = 182,185.58/182.88
  6. Step 6: Final answer
    x = 996.19

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.