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Finding the Third Proportional to 181.31 and 396.94

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Solution

The third proportional to 181.31 and 396.94 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 396.94 = 396.94 : x
  2. Step 2: Convert to fraction form
    181.31/396.94 = 396.94/x
  3. Step 3: Cross multiply
    181.31x = 396.94 × 396.94
  4. Step 4: Simplify right side
    181.31x = 157,559.38
  5. Step 5: Solve for x
    x = 157,559.38/181.31
  6. Step 6: Final answer
    x = 868.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.