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Finding the Third Proportional to 203.38 and 481.94

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Solution

The third proportional to 203.38 and 481.94 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 481.94 = 481.94 : x
  2. Step 2: Convert to fraction form
    203.38/481.94 = 481.94/x
  3. Step 3: Cross multiply
    203.38x = 481.94 × 481.94
  4. Step 4: Simplify right side
    203.38x = 232,263.75
  5. Step 5: Solve for x
    x = 232,263.75/203.38
  6. Step 6: Final answer
    x = 1,142.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.