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Finding the Third Proportional to 301.31 and 650.81

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Solution

The third proportional to 301.31 and 650.81 is: 1,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 650.81 = 650.81 : x
  2. Step 2: Convert to fraction form
    301.31/650.81 = 650.81/x
  3. Step 3: Cross multiply
    301.31x = 650.81 × 650.81
  4. Step 4: Simplify right side
    301.31x = 423,556.91
  5. Step 5: Solve for x
    x = 423,556.91/301.31
  6. Step 6: Final answer
    x = 1,405.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.