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Finding the Third Proportional to 97.75 and 202.44

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Solution

The third proportional to 97.75 and 202.44 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 202.44 = 202.44 : x
  2. Step 2: Convert to fraction form
    97.75/202.44 = 202.44/x
  3. Step 3: Cross multiply
    97.75x = 202.44 × 202.44
  4. Step 4: Simplify right side
    97.75x = 40,980.94
  5. Step 5: Solve for x
    x = 40,980.94/97.75
  6. Step 6: Final answer
    x = 419.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.