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Finding the Third Proportional to 208,180.50 and 447,936.75

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Solution

The third proportional to 208,180.50 and 447,936.75 is: 963,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.50 : 447,936.75 = 447,936.75 : x
  2. Step 2: Convert to fraction form
    208,180.50/447,936.75 = 447,936.75/x
  3. Step 3: Cross multiply
    208,180.50x = 447,936.75 × 447,936.75
  4. Step 4: Simplify right side
    208,180.50x = 200,647,332,000.56
  5. Step 5: Solve for x
    x = 200,647,332,000.56/208,180.50
  6. Step 6: Final answer
    x = 963,814.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.