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Finding the Third Proportional to 202,198.50 and 440,077.50

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Solution

The third proportional to 202,198.50 and 440,077.50 is: 957,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.50 : 440,077.50 = 440,077.50 : x
  2. Step 2: Convert to fraction form
    202,198.50/440,077.50 = 440,077.50/x
  3. Step 3: Cross multiply
    202,198.50x = 440,077.50 × 440,077.50
  4. Step 4: Simplify right side
    202,198.50x = 193,668,206,006.25
  5. Step 5: Solve for x
    x = 193,668,206,006.25/202,198.50
  6. Step 6: Final answer
    x = 957,812.28

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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.