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Finding the Third Proportional to 167,320 and 251,351

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Solution

The third proportional to 167,320 and 251,351 is: 377,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,320 : 251,351 = 251,351 : x
  2. Step 2: Convert to fraction form
    167,320/251,351 = 251,351/x
  3. Step 3: Cross multiply
    167,320x = 251,351 × 251,351
  4. Step 4: Simplify right side
    167,320x = 63,177,325,201
  5. Step 5: Solve for x
    x = 63,177,325,201/167,320
  6. Step 6: Final answer
    x = 377,583.82

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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.