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Finding the Third Proportional to 167 and 358.66

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Solution

The third proportional to 167 and 358.66 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 358.66 = 358.66 : x
  2. Step 2: Convert to fraction form
    167/358.66 = 358.66/x
  3. Step 3: Cross multiply
    167x = 358.66 × 358.66
  4. Step 4: Simplify right side
    167x = 128,634.31
  5. Step 5: Solve for x
    x = 128,634.31/167
  6. Step 6: Final answer
    x = 770.27

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