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Finding the Third Proportional to 221.27 and 476.09

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Solution

The third proportional to 221.27 and 476.09 is: 1,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.27 : 476.09 = 476.09 : x
  2. Step 2: Convert to fraction form
    221.27/476.09 = 476.09/x
  3. Step 3: Cross multiply
    221.27x = 476.09 × 476.09
  4. Step 4: Simplify right side
    221.27x = 226,657.82
  5. Step 5: Solve for x
    x = 226,657.82/221.27
  6. Step 6: Final answer
    x = 1,024.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.