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Finding the Third Proportional to 204,198 and 306,493

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Solution

The third proportional to 204,198 and 306,493 is: 460,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,198 : 306,493 = 306,493 : x
  2. Step 2: Convert to fraction form
    204,198/306,493 = 306,493/x
  3. Step 3: Cross multiply
    204,198x = 306,493 × 306,493
  4. Step 4: Simplify right side
    204,198x = 93,937,959,049
  5. Step 5: Solve for x
    x = 93,937,959,049/204,198
  6. Step 6: Final answer
    x = 460,033.69

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Why These Related Problems?

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