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Finding the Third Proportional to 353.75 and 761.88

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Solution

The third proportional to 353.75 and 761.88 is: 1,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 761.88 = 761.88 : x
  2. Step 2: Convert to fraction form
    353.75/761.88 = 761.88/x
  3. Step 3: Cross multiply
    353.75x = 761.88 × 761.88
  4. Step 4: Simplify right side
    353.75x = 580,453.52
  5. Step 5: Solve for x
    x = 580,453.52/353.75
  6. Step 6: Final answer
    x = 1,640.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.