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Finding the Third Proportional to 167,137 and 274,368

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Solution

The third proportional to 167,137 and 274,368 is: 450,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,137 : 274,368 = 274,368 : x
  2. Step 2: Convert to fraction form
    167,137/274,368 = 274,368/x
  3. Step 3: Cross multiply
    167,137x = 274,368 × 274,368
  4. Step 4: Simplify right side
    167,137x = 75,277,799,424
  5. Step 5: Solve for x
    x = 75,277,799,424/167,137
  6. Step 6: Final answer
    x = 450,395.78

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.