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Finding the Third Proportional to 202.41 and 310.31

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Solution

The third proportional to 202.41 and 310.31 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.41 : 310.31 = 310.31 : x
  2. Step 2: Convert to fraction form
    202.41/310.31 = 310.31/x
  3. Step 3: Cross multiply
    202.41x = 310.31 × 310.31
  4. Step 4: Simplify right side
    202.41x = 96,293.85
  5. Step 5: Solve for x
    x = 96,293.85/202.41
  6. Step 6: Final answer
    x = 475.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.