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Finding the Third Proportional to 221.81 and 476.91

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Solution

The third proportional to 221.81 and 476.91 is: 1,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 476.91 = 476.91 : x
  2. Step 2: Convert to fraction form
    221.81/476.91 = 476.91/x
  3. Step 3: Cross multiply
    221.81x = 476.91 × 476.91
  4. Step 4: Simplify right side
    221.81x = 227,439.57
  5. Step 5: Solve for x
    x = 227,439.57/221.81
  6. Step 6: Final answer
    x = 1,025.37

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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.