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Finding the Third Proportional to 161.05 and 241.73

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Solution

The third proportional to 161.05 and 241.73 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.05 : 241.73 = 241.73 : x
  2. Step 2: Convert to fraction form
    161.05/241.73 = 241.73/x
  3. Step 3: Cross multiply
    161.05x = 241.73 × 241.73
  4. Step 4: Simplify right side
    161.05x = 58,435.51
  5. Step 5: Solve for x
    x = 58,435.51/161.05
  6. Step 6: Final answer
    x = 362.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.