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Finding the Third Proportional to 199,622 and 300,243

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Solution

The third proportional to 199,622 and 300,243 is: 451,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622 : 300,243 = 300,243 : x
  2. Step 2: Convert to fraction form
    199,622/300,243 = 300,243/x
  3. Step 3: Cross multiply
    199,622x = 300,243 × 300,243
  4. Step 4: Simplify right side
    199,622x = 90,145,859,049
  5. Step 5: Solve for x
    x = 90,145,859,049/199,622
  6. Step 6: Final answer
    x = 451,582.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.