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Finding the Third Proportional to 192,593 and 277,413

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Solution

The third proportional to 192,593 and 277,413 is: 399,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,593 : 277,413 = 277,413 : x
  2. Step 2: Convert to fraction form
    192,593/277,413 = 277,413/x
  3. Step 3: Cross multiply
    192,593x = 277,413 × 277,413
  4. Step 4: Simplify right side
    192,593x = 76,957,972,569
  5. Step 5: Solve for x
    x = 76,957,972,569/192,593
  6. Step 6: Final answer
    x = 399,588.63

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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.