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Finding the Third Proportional to 823 and 1,195

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Solution

The third proportional to 823 and 1,195 is: 1,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 1,195 = 1,195 : x
  2. Step 2: Convert to fraction form
    823/1,195 = 1,195/x
  3. Step 3: Cross multiply
    823x = 1,195 × 1,195
  4. Step 4: Simplify right side
    823x = 1,428,025
  5. Step 5: Solve for x
    x = 1,428,025/823
  6. Step 6: Final answer
    x = 1,735.15

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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.