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Finding the Third Proportional to 192,003 and 254,780

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Solution

The third proportional to 192,003 and 254,780 is: 338,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,003 : 254,780 = 254,780 : x
  2. Step 2: Convert to fraction form
    192,003/254,780 = 254,780/x
  3. Step 3: Cross multiply
    192,003x = 254,780 × 254,780
  4. Step 4: Simplify right side
    192,003x = 64,912,848,400
  5. Step 5: Solve for x
    x = 64,912,848,400/192,003
  6. Step 6: Final answer
    x = 338,082.47

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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.