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Finding the Third Proportional to 167,544 and 251,676

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Solution

The third proportional to 167,544 and 251,676 is: 378,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,544 : 251,676 = 251,676 : x
  2. Step 2: Convert to fraction form
    167,544/251,676 = 251,676/x
  3. Step 3: Cross multiply
    167,544x = 251,676 × 251,676
  4. Step 4: Simplify right side
    167,544x = 63,340,808,976
  5. Step 5: Solve for x
    x = 63,340,808,976/167,544
  6. Step 6: Final answer
    x = 378,054.77

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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.