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Finding the Third Proportional to 179.12 and 241.67

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Solution

The third proportional to 179.12 and 241.67 is: 326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.12 : 241.67 = 241.67 : x
  2. Step 2: Convert to fraction form
    179.12/241.67 = 241.67/x
  3. Step 3: Cross multiply
    179.12x = 241.67 × 241.67
  4. Step 4: Simplify right side
    179.12x = 58,405.30
  5. Step 5: Solve for x
    x = 58,405.30/179.12
  6. Step 6: Final answer
    x = 326.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.