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Finding the Third Proportional to 167.06 and 358.59

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Solution

The third proportional to 167.06 and 358.59 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 358.59 = 358.59 : x
  2. Step 2: Convert to fraction form
    167.06/358.59 = 358.59/x
  3. Step 3: Cross multiply
    167.06x = 358.59 × 358.59
  4. Step 4: Simplify right side
    167.06x = 128,589.48
  5. Step 5: Solve for x
    x = 128,589.48/167.06
  6. Step 6: Final answer
    x = 769.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.