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Finding the Third Proportional to 1,197 and 1,338.75

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Solution

The third proportional to 1,197 and 1,338.75 is: 1,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,338.75 = 1,338.75 : x
  2. Step 2: Convert to fraction form
    1,197/1,338.75 = 1,338.75/x
  3. Step 3: Cross multiply
    1,197x = 1,338.75 × 1,338.75
  4. Step 4: Simplify right side
    1,197x = 1,792,251.56
  5. Step 5: Solve for x
    x = 1,792,251.56/1,197
  6. Step 6: Final answer
    x = 1,497.29

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.