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Finding the Third Proportional to 182 and 218.75

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Solution

The third proportional to 182 and 218.75 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 218.75 = 218.75 : x
  2. Step 2: Convert to fraction form
    182/218.75 = 218.75/x
  3. Step 3: Cross multiply
    182x = 218.75 × 218.75
  4. Step 4: Simplify right side
    182x = 47,851.56
  5. Step 5: Solve for x
    x = 47,851.56/182
  6. Step 6: Final answer
    x = 262.92

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.