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Finding the Third Proportional to 192,927 and 275,202.75

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Solution

The third proportional to 192,927 and 275,202.75 is: 392,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,927 : 275,202.75 = 275,202.75 : x
  2. Step 2: Convert to fraction form
    192,927/275,202.75 = 275,202.75/x
  3. Step 3: Cross multiply
    192,927x = 275,202.75 × 275,202.75
  4. Step 4: Simplify right side
    192,927x = 75,736,553,607.56
  5. Step 5: Solve for x
    x = 75,736,553,607.56/192,927
  6. Step 6: Final answer
    x = 392,565.86

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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.