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Finding the Third Proportional to 167.06 and 251.07

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Solution

The third proportional to 167.06 and 251.07 is: 377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 251.07 = 251.07 : x
  2. Step 2: Convert to fraction form
    167.06/251.07 = 251.07/x
  3. Step 3: Cross multiply
    167.06x = 251.07 × 251.07
  4. Step 4: Simplify right side
    167.06x = 63,035.32
  5. Step 5: Solve for x
    x = 63,035.32/167.06
  6. Step 6: Final answer
    x = 377.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.