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Finding the Third Proportional to 200,853.74 and 311,198.99

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Solution

The third proportional to 200,853.74 and 311,198.99 is: 482,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,853.74 : 311,198.99 = 311,198.99 : x
  2. Step 2: Convert to fraction form
    200,853.74/311,198.99 = 311,198.99/x
  3. Step 3: Cross multiply
    200,853.74x = 311,198.99 × 311,198.99
  4. Step 4: Simplify right side
    200,853.74x = 96,844,813,954.15
  5. Step 5: Solve for x
    x = 96,844,813,954.15/200,853.74
  6. Step 6: Final answer
    x = 482,165.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.