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Finding the Third Proportional to 353.11 and 537.26

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Solution

The third proportional to 353.11 and 537.26 is: 817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.11 : 537.26 = 537.26 : x
  2. Step 2: Convert to fraction form
    353.11/537.26 = 537.26/x
  3. Step 3: Cross multiply
    353.11x = 537.26 × 537.26
  4. Step 4: Simplify right side
    353.11x = 288,645.96
  5. Step 5: Solve for x
    x = 288,645.96/353.11
  6. Step 6: Final answer
    x = 817.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.