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Finding the Third Proportional to 206.91 and 309.94

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Solution

The third proportional to 206.91 and 309.94 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 309.94 = 309.94 : x
  2. Step 2: Convert to fraction form
    206.91/309.94 = 309.94/x
  3. Step 3: Cross multiply
    206.91x = 309.94 × 309.94
  4. Step 4: Simplify right side
    206.91x = 96,061.25
  5. Step 5: Solve for x
    x = 96,061.25/206.91
  6. Step 6: Final answer
    x = 464.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.