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Finding the Third Proportional to 344.75 and 459.25

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Solution

The third proportional to 344.75 and 459.25 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 459.25 = 459.25 : x
  2. Step 2: Convert to fraction form
    344.75/459.25 = 459.25/x
  3. Step 3: Cross multiply
    344.75x = 459.25 × 459.25
  4. Step 4: Simplify right side
    344.75x = 210,910.56
  5. Step 5: Solve for x
    x = 210,910.56/344.75
  6. Step 6: Final answer
    x = 611.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.