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Finding the Third Proportional to 161.81 and 365.44

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Solution

The third proportional to 161.81 and 365.44 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.81 : 365.44 = 365.44 : x
  2. Step 2: Convert to fraction form
    161.81/365.44 = 365.44/x
  3. Step 3: Cross multiply
    161.81x = 365.44 × 365.44
  4. Step 4: Simplify right side
    161.81x = 133,544.57
  5. Step 5: Solve for x
    x = 133,544.57/161.81
  6. Step 6: Final answer
    x = 825.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.