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Finding the Third Proportional to 206.12 and 441.06

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Solution

The third proportional to 206.12 and 441.06 is: 943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 441.06 = 441.06 : x
  2. Step 2: Convert to fraction form
    206.12/441.06 = 441.06/x
  3. Step 3: Cross multiply
    206.12x = 441.06 × 441.06
  4. Step 4: Simplify right side
    206.12x = 194,538.17
  5. Step 5: Solve for x
    x = 194,538.17/206.12
  6. Step 6: Final answer
    x = 943.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.