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Finding the Third Proportional to 192,939 and 275,220.75

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Solution

The third proportional to 192,939 and 275,220.75 is: 392,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,939 : 275,220.75 = 275,220.75 : x
  2. Step 2: Convert to fraction form
    192,939/275,220.75 = 275,220.75/x
  3. Step 3: Cross multiply
    192,939x = 275,220.75 × 275,220.75
  4. Step 4: Simplify right side
    192,939x = 75,746,461,230.56
  5. Step 5: Solve for x
    x = 75,746,461,230.56/192,939
  6. Step 6: Final answer
    x = 392,592.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.