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Finding the Third Proportional to 351.75 and 748.31

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Solution

The third proportional to 351.75 and 748.31 is: 1,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 748.31 = 748.31 : x
  2. Step 2: Convert to fraction form
    351.75/748.31 = 748.31/x
  3. Step 3: Cross multiply
    351.75x = 748.31 × 748.31
  4. Step 4: Simplify right side
    351.75x = 559,971.60
  5. Step 5: Solve for x
    x = 559,971.60/351.75
  6. Step 6: Final answer
    x = 1,591.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.