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Finding the Third Proportional to 206.02 and 366.36

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Solution

The third proportional to 206.02 and 366.36 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.02 : 366.36 = 366.36 : x
  2. Step 2: Convert to fraction form
    206.02/366.36 = 366.36/x
  3. Step 3: Cross multiply
    206.02x = 366.36 × 366.36
  4. Step 4: Simplify right side
    206.02x = 134,222.05
  5. Step 5: Solve for x
    x = 134,222.05/206.02
  6. Step 6: Final answer
    x = 651.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.