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Finding the Third Proportional to 103.25 and 214.75

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Solution

The third proportional to 103.25 and 214.75 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 214.75 = 214.75 : x
  2. Step 2: Convert to fraction form
    103.25/214.75 = 214.75/x
  3. Step 3: Cross multiply
    103.25x = 214.75 × 214.75
  4. Step 4: Simplify right side
    103.25x = 46,117.56
  5. Step 5: Solve for x
    x = 46,117.56/103.25
  6. Step 6: Final answer
    x = 446.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.