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Finding the Third Proportional to 836.26 and 1,195.07

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Solution

The third proportional to 836.26 and 1,195.07 is: 1,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.26 : 1,195.07 = 1,195.07 : x
  2. Step 2: Convert to fraction form
    836.26/1,195.07 = 1,195.07/x
  3. Step 3: Cross multiply
    836.26x = 1,195.07 × 1,195.07
  4. Step 4: Simplify right side
    836.26x = 1,428,183.72
  5. Step 5: Solve for x
    x = 1,428,183.72/836.26
  6. Step 6: Final answer
    x = 1,707.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.