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Finding the Third Proportional to 818.44 and 1,150.31

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Solution

The third proportional to 818.44 and 1,150.31 is: 1,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.44 : 1,150.31 = 1,150.31 : x
  2. Step 2: Convert to fraction form
    818.44/1,150.31 = 1,150.31/x
  3. Step 3: Cross multiply
    818.44x = 1,150.31 × 1,150.31
  4. Step 4: Simplify right side
    818.44x = 1,323,218.85
  5. Step 5: Solve for x
    x = 1,323,218.85/818.44
  6. Step 6: Final answer
    x = 1,616.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.