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Finding the Third Proportional to 204,454.50 and 419,107.50

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Solution

The third proportional to 204,454.50 and 419,107.50 is: 859,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,454.50 : 419,107.50 = 419,107.50 : x
  2. Step 2: Convert to fraction form
    204,454.50/419,107.50 = 419,107.50/x
  3. Step 3: Cross multiply
    204,454.50x = 419,107.50 × 419,107.50
  4. Step 4: Simplify right side
    204,454.50x = 175,651,096,556.25
  5. Step 5: Solve for x
    x = 175,651,096,556.25/204,454.50
  6. Step 6: Final answer
    x = 859,120.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.