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Finding the Third Proportional to 192,939 and 413,564

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Solution

The third proportional to 192,939 and 413,564 is: 886,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,939 : 413,564 = 413,564 : x
  2. Step 2: Convert to fraction form
    192,939/413,564 = 413,564/x
  3. Step 3: Cross multiply
    192,939x = 413,564 × 413,564
  4. Step 4: Simplify right side
    192,939x = 171,035,182,096
  5. Step 5: Solve for x
    x = 171,035,182,096/192,939
  6. Step 6: Final answer
    x = 886,472.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.