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Finding the Third Proportional to 205,771.50 and 449,247.75

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Solution

The third proportional to 205,771.50 and 449,247.75 is: 980,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,771.50 : 449,247.75 = 449,247.75 : x
  2. Step 2: Convert to fraction form
    205,771.50/449,247.75 = 449,247.75/x
  3. Step 3: Cross multiply
    205,771.50x = 449,247.75 × 449,247.75
  4. Step 4: Simplify right side
    205,771.50x = 201,823,540,880.06
  5. Step 5: Solve for x
    x = 201,823,540,880.06/205,771.50
  6. Step 6: Final answer
    x = 980,813.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.