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Finding the Third Proportional to 179.24 and 262.17

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Solution

The third proportional to 179.24 and 262.17 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 262.17 = 262.17 : x
  2. Step 2: Convert to fraction form
    179.24/262.17 = 262.17/x
  3. Step 3: Cross multiply
    179.24x = 262.17 × 262.17
  4. Step 4: Simplify right side
    179.24x = 68,732.56
  5. Step 5: Solve for x
    x = 68,732.56/179.24
  6. Step 6: Final answer
    x = 383.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.