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Finding the Third Proportional to 203,097.38 and 440,093.25

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Solution

The third proportional to 203,097.38 and 440,093.25 is: 953,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,097.38 : 440,093.25 = 440,093.25 : x
  2. Step 2: Convert to fraction form
    203,097.38/440,093.25 = 440,093.25/x
  3. Step 3: Cross multiply
    203,097.38x = 440,093.25 × 440,093.25
  4. Step 4: Simplify right side
    203,097.38x = 193,682,068,695.56
  5. Step 5: Solve for x
    x = 193,682,068,695.56/203,097.38
  6. Step 6: Final answer
    x = 953,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.