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Finding the Third Proportional to 205,744.50 and 440,021.25

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Solution

The third proportional to 205,744.50 and 440,021.25 is: 941,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.50 : 440,021.25 = 440,021.25 : x
  2. Step 2: Convert to fraction form
    205,744.50/440,021.25 = 440,021.25/x
  3. Step 3: Cross multiply
    205,744.50x = 440,021.25 × 440,021.25
  4. Step 4: Simplify right side
    205,744.50x = 193,618,700,451.56
  5. Step 5: Solve for x
    x = 193,618,700,451.56/205,744.50
  6. Step 6: Final answer
    x = 941,063.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.