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Finding the Third Proportional to 197.44 and 315.38

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Solution

The third proportional to 197.44 and 315.38 is: 503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 315.38 = 315.38 : x
  2. Step 2: Convert to fraction form
    197.44/315.38 = 315.38/x
  3. Step 3: Cross multiply
    197.44x = 315.38 × 315.38
  4. Step 4: Simplify right side
    197.44x = 99,461.39
  5. Step 5: Solve for x
    x = 99,461.39/197.44
  6. Step 6: Final answer
    x = 503.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.