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Finding the Third Proportional to 203.77 and 310.08

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Solution

The third proportional to 203.77 and 310.08 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 310.08 = 310.08 : x
  2. Step 2: Convert to fraction form
    203.77/310.08 = 310.08/x
  3. Step 3: Cross multiply
    203.77x = 310.08 × 310.08
  4. Step 4: Simplify right side
    203.77x = 96,148.44
  5. Step 5: Solve for x
    x = 96,148.44/203.77
  6. Step 6: Final answer
    x = 471.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.