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Finding the Third Proportional to 202.41 and 302.20

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Solution

The third proportional to 202.41 and 302.20 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.41 : 302.20 = 302.20 : x
  2. Step 2: Convert to fraction form
    202.41/302.20 = 302.20/x
  3. Step 3: Cross multiply
    202.41x = 302.20 × 302.20
  4. Step 4: Simplify right side
    202.41x = 91,326.73
  5. Step 5: Solve for x
    x = 91,326.73/202.41
  6. Step 6: Final answer
    x = 451.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.