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Finding the Third Proportional to 202.44 and 217.06

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Solution

The third proportional to 202.44 and 217.06 is: 232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 217.06 = 217.06 : x
  2. Step 2: Convert to fraction form
    202.44/217.06 = 217.06/x
  3. Step 3: Cross multiply
    202.44x = 217.06 × 217.06
  4. Step 4: Simplify right side
    202.44x = 47,116.13
  5. Step 5: Solve for x
    x = 47,116.13/202.44
  6. Step 6: Final answer
    x = 232.74

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.