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Finding the Third Proportional to 333.25 and 518.75

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Solution

The third proportional to 333.25 and 518.75 is: 807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 518.75 = 518.75 : x
  2. Step 2: Convert to fraction form
    333.25/518.75 = 518.75/x
  3. Step 3: Cross multiply
    333.25x = 518.75 × 518.75
  4. Step 4: Simplify right side
    333.25x = 269,101.56
  5. Step 5: Solve for x
    x = 269,101.56/333.25
  6. Step 6: Final answer
    x = 807.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.