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Finding the Third Proportional to 197 and 318

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Solution

The third proportional to 197 and 318 is: 513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 318 = 318 : x
  2. Step 2: Convert to fraction form
    197/318 = 318/x
  3. Step 3: Cross multiply
    197x = 318 × 318
  4. Step 4: Simplify right side
    197x = 101,124
  5. Step 5: Solve for x
    x = 101,124/197
  6. Step 6: Final answer
    x = 513.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.