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Finding the Third Proportional to 221.44 and 470.06

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Solution

The third proportional to 221.44 and 470.06 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 470.06 = 470.06 : x
  2. Step 2: Convert to fraction form
    221.44/470.06 = 470.06/x
  3. Step 3: Cross multiply
    221.44x = 470.06 × 470.06
  4. Step 4: Simplify right side
    221.44x = 220,958.75
  5. Step 5: Solve for x
    x = 220,958.75/221.44
  6. Step 6: Final answer
    x = 997.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.