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Finding the Third Proportional to 221.06 and 476.53

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Solution

The third proportional to 221.06 and 476.53 is: 1,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.06 : 476.53 = 476.53 : x
  2. Step 2: Convert to fraction form
    221.06/476.53 = 476.53/x
  3. Step 3: Cross multiply
    221.06x = 476.53 × 476.53
  4. Step 4: Simplify right side
    221.06x = 227,082.03
  5. Step 5: Solve for x
    x = 227,082.03/221.06
  6. Step 6: Final answer
    x = 1,027.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.