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Finding the Third Proportional to 181.13 and 196.13

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Solution

The third proportional to 181.13 and 196.13 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 196.13 = 196.13 : x
  2. Step 2: Convert to fraction form
    181.13/196.13 = 196.13/x
  3. Step 3: Cross multiply
    181.13x = 196.13 × 196.13
  4. Step 4: Simplify right side
    181.13x = 38,465.02
  5. Step 5: Solve for x
    x = 38,465.02/181.13
  6. Step 6: Final answer
    x = 212.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.