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Finding the Third Proportional to 192,092.25 and 281,907.75

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Solution

The third proportional to 192,092.25 and 281,907.75 is: 413,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,092.25 : 281,907.75 = 281,907.75 : x
  2. Step 2: Convert to fraction form
    192,092.25/281,907.75 = 281,907.75/x
  3. Step 3: Cross multiply
    192,092.25x = 281,907.75 × 281,907.75
  4. Step 4: Simplify right side
    192,092.25x = 79,471,979,510.06
  5. Step 5: Solve for x
    x = 79,471,979,510.06/192,092.25
  6. Step 6: Final answer
    x = 413,717.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.