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Finding the Third Proportional to 167,868 and 253,422

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Solution

The third proportional to 167,868 and 253,422 is: 382,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,868 : 253,422 = 253,422 : x
  2. Step 2: Convert to fraction form
    167,868/253,422 = 253,422/x
  3. Step 3: Cross multiply
    167,868x = 253,422 × 253,422
  4. Step 4: Simplify right side
    167,868x = 64,222,710,084
  5. Step 5: Solve for x
    x = 64,222,710,084/167,868
  6. Step 6: Final answer
    x = 382,578.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.