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Finding the Third Proportional to 199,449 and 284,046.75

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Solution

The third proportional to 199,449 and 284,046.75 is: 404,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,449 : 284,046.75 = 284,046.75 : x
  2. Step 2: Convert to fraction form
    199,449/284,046.75 = 284,046.75/x
  3. Step 3: Cross multiply
    199,449x = 284,046.75 × 284,046.75
  4. Step 4: Simplify right side
    199,449x = 80,682,556,185.56
  5. Step 5: Solve for x
    x = 80,682,556,185.56/199,449
  6. Step 6: Final answer
    x = 404,527.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.