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Finding the Third Proportional to 192,082.50 and 277,503

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Solution

The third proportional to 192,082.50 and 277,503 is: 400,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,082.50 : 277,503 = 277,503 : x
  2. Step 2: Convert to fraction form
    192,082.50/277,503 = 277,503/x
  3. Step 3: Cross multiply
    192,082.50x = 277,503 × 277,503
  4. Step 4: Simplify right side
    192,082.50x = 77,007,915,009
  5. Step 5: Solve for x
    x = 77,007,915,009/192,082.50
  6. Step 6: Final answer
    x = 400,910.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.