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Finding the Third Proportional to 167.34 and 360.35

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Solution

The third proportional to 167.34 and 360.35 is: 775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 360.35 = 360.35 : x
  2. Step 2: Convert to fraction form
    167.34/360.35 = 360.35/x
  3. Step 3: Cross multiply
    167.34x = 360.35 × 360.35
  4. Step 4: Simplify right side
    167.34x = 129,853.25
  5. Step 5: Solve for x
    x = 129,853.25/167.34
  6. Step 6: Final answer
    x = 775.97

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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.