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Finding the Third Proportional to 203.77 and 313.24

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Solution

The third proportional to 203.77 and 313.24 is: 481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 313.24 = 313.24 : x
  2. Step 2: Convert to fraction form
    203.77/313.24 = 313.24/x
  3. Step 3: Cross multiply
    203.77x = 313.24 × 313.24
  4. Step 4: Simplify right side
    203.77x = 98,120.67
  5. Step 5: Solve for x
    x = 98,120.67/203.77
  6. Step 6: Final answer
    x = 481.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.