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Finding the Third Proportional to 181.31 and 272.06

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Solution

The third proportional to 181.31 and 272.06 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 272.06 = 272.06 : x
  2. Step 2: Convert to fraction form
    181.31/272.06 = 272.06/x
  3. Step 3: Cross multiply
    181.31x = 272.06 × 272.06
  4. Step 4: Simplify right side
    181.31x = 74,018.00
  5. Step 5: Solve for x
    x = 74,018.00/181.31
  6. Step 6: Final answer
    x = 408.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.