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Finding the Third Proportional to 348.50 and 766.75

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Solution

The third proportional to 348.50 and 766.75 is: 1,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 766.75 = 766.75 : x
  2. Step 2: Convert to fraction form
    348.50/766.75 = 766.75/x
  3. Step 3: Cross multiply
    348.50x = 766.75 × 766.75
  4. Step 4: Simplify right side
    348.50x = 587,905.56
  5. Step 5: Solve for x
    x = 587,905.56/348.50
  6. Step 6: Final answer
    x = 1,686.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.