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Finding the Third Proportional to 185.73 and 401.84

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Solution

The third proportional to 185.73 and 401.84 is: 869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.73 : 401.84 = 401.84 : x
  2. Step 2: Convert to fraction form
    185.73/401.84 = 401.84/x
  3. Step 3: Cross multiply
    185.73x = 401.84 × 401.84
  4. Step 4: Simplify right side
    185.73x = 161,472.12
  5. Step 5: Solve for x
    x = 161,472.12/185.73
  6. Step 6: Final answer
    x = 869.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.