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Finding the Third Proportional to 203,978.25 and 444,247.88

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Solution

The third proportional to 203,978.25 and 444,247.88 is: 967,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978.25 : 444,247.88 = 444,247.88 : x
  2. Step 2: Convert to fraction form
    203,978.25/444,247.88 = 444,247.88/x
  3. Step 3: Cross multiply
    203,978.25x = 444,247.88 × 444,247.88
  4. Step 4: Simplify right side
    203,978.25x = 197,356,174,442.02
  5. Step 5: Solve for x
    x = 197,356,174,442.02/203,978.25
  6. Step 6: Final answer
    x = 967,535.38

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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.