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Finding the Third Proportional to 161.60 and 241.34

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Solution

The third proportional to 161.60 and 241.34 is: 360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 241.34 = 241.34 : x
  2. Step 2: Convert to fraction form
    161.60/241.34 = 241.34/x
  3. Step 3: Cross multiply
    161.60x = 241.34 × 241.34
  4. Step 4: Simplify right side
    161.60x = 58,244.45
  5. Step 5: Solve for x
    x = 58,244.45/161.60
  6. Step 6: Final answer
    x = 360.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.