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Finding the Third Proportional to 86 and 183

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Solution

The third proportional to 86 and 183 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86 : 183 = 183 : x
  2. Step 2: Convert to fraction form
    86/183 = 183/x
  3. Step 3: Cross multiply
    86x = 183 × 183
  4. Step 4: Simplify right side
    86x = 33,489
  5. Step 5: Solve for x
    x = 33,489/86
  6. Step 6: Final answer
    x = 389.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.