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Finding the Third Proportional to 197.81 and 282.19

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Solution

The third proportional to 197.81 and 282.19 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.81 : 282.19 = 282.19 : x
  2. Step 2: Convert to fraction form
    197.81/282.19 = 282.19/x
  3. Step 3: Cross multiply
    197.81x = 282.19 × 282.19
  4. Step 4: Simplify right side
    197.81x = 79,629.79
  5. Step 5: Solve for x
    x = 79,629.79/197.81
  6. Step 6: Final answer
    x = 402.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.