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Finding the Third Proportional to 106.25 and 220.75

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Solution

The third proportional to 106.25 and 220.75 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 220.75 = 220.75 : x
  2. Step 2: Convert to fraction form
    106.25/220.75 = 220.75/x
  3. Step 3: Cross multiply
    106.25x = 220.75 × 220.75
  4. Step 4: Simplify right side
    106.25x = 48,730.56
  5. Step 5: Solve for x
    x = 48,730.56/106.25
  6. Step 6: Final answer
    x = 458.64

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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.