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Finding the Third Proportional to 83.09 and 181.94

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Solution

The third proportional to 83.09 and 181.94 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 181.94 = 181.94 : x
  2. Step 2: Convert to fraction form
    83.09/181.94 = 181.94/x
  3. Step 3: Cross multiply
    83.09x = 181.94 × 181.94
  4. Step 4: Simplify right side
    83.09x = 33,101.25
  5. Step 5: Solve for x
    x = 33,101.25/83.09
  6. Step 6: Final answer
    x = 398.36

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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.