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Finding the Third Proportional to 181.31 and 265.03

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Solution

The third proportional to 181.31 and 265.03 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 265.03 = 265.03 : x
  2. Step 2: Convert to fraction form
    181.31/265.03 = 265.03/x
  3. Step 3: Cross multiply
    181.31x = 265.03 × 265.03
  4. Step 4: Simplify right side
    181.31x = 70,241.56
  5. Step 5: Solve for x
    x = 70,241.56/181.31
  6. Step 6: Final answer
    x = 387.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.