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Finding the Third Proportional to 206.66 and 450.41

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Solution

The third proportional to 206.66 and 450.41 is: 981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 450.41 = 450.41 : x
  2. Step 2: Convert to fraction form
    206.66/450.41 = 450.41/x
  3. Step 3: Cross multiply
    206.66x = 450.41 × 450.41
  4. Step 4: Simplify right side
    206.66x = 202,865.79
  5. Step 5: Solve for x
    x = 202,865.79/206.66
  6. Step 6: Final answer
    x = 981.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.