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Finding the Third Proportional to 206.93 and 314.09

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Solution

The third proportional to 206.93 and 314.09 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 314.09 = 314.09 : x
  2. Step 2: Convert to fraction form
    206.93/314.09 = 314.09/x
  3. Step 3: Cross multiply
    206.93x = 314.09 × 314.09
  4. Step 4: Simplify right side
    206.93x = 98,649.98
  5. Step 5: Solve for x
    x = 98,649.98/206.93
  6. Step 6: Final answer
    x = 476.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.