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Finding the Third Proportional to 203,918.25 and 444,700.50

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Solution

The third proportional to 203,918.25 and 444,700.50 is: 969,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,918.25 : 444,700.50 = 444,700.50 : x
  2. Step 2: Convert to fraction form
    203,918.25/444,700.50 = 444,700.50/x
  3. Step 3: Cross multiply
    203,918.25x = 444,700.50 × 444,700.50
  4. Step 4: Simplify right side
    203,918.25x = 197,758,534,700.25
  5. Step 5: Solve for x
    x = 197,758,534,700.25/203,918.25
  6. Step 6: Final answer
    x = 969,793.21

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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.