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Finding the Third Proportional to 825.19 and 1,198.69

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Solution

The third proportional to 825.19 and 1,198.69 is: 1,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,198.69 = 1,198.69 : x
  2. Step 2: Convert to fraction form
    825.19/1,198.69 = 1,198.69/x
  3. Step 3: Cross multiply
    825.19x = 1,198.69 × 1,198.69
  4. Step 4: Simplify right side
    825.19x = 1,436,851.72
  5. Step 5: Solve for x
    x = 1,436,851.72/825.19
  6. Step 6: Final answer
    x = 1,741.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.