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Finding the Third Proportional to 206.75 and 347.25

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Solution

The third proportional to 206.75 and 347.25 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 347.25 = 347.25 : x
  2. Step 2: Convert to fraction form
    206.75/347.25 = 347.25/x
  3. Step 3: Cross multiply
    206.75x = 347.25 × 347.25
  4. Step 4: Simplify right side
    206.75x = 120,582.56
  5. Step 5: Solve for x
    x = 120,582.56/206.75
  6. Step 6: Final answer
    x = 583.23

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.