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Finding the Third Proportional to 192,072 and 254,874

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Solution

The third proportional to 192,072 and 254,874 is: 338,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,072 : 254,874 = 254,874 : x
  2. Step 2: Convert to fraction form
    192,072/254,874 = 254,874/x
  3. Step 3: Cross multiply
    192,072x = 254,874 × 254,874
  4. Step 4: Simplify right side
    192,072x = 64,960,755,876
  5. Step 5: Solve for x
    x = 64,960,755,876/192,072
  6. Step 6: Final answer
    x = 338,210.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.