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Finding the Third Proportional to 167.91 and 346.31

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Solution

The third proportional to 167.91 and 346.31 is: 714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 346.31 = 346.31 : x
  2. Step 2: Convert to fraction form
    167.91/346.31 = 346.31/x
  3. Step 3: Cross multiply
    167.91x = 346.31 × 346.31
  4. Step 4: Simplify right side
    167.91x = 119,932.35
  5. Step 5: Solve for x
    x = 119,932.35/167.91
  6. Step 6: Final answer
    x = 714.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.