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Finding the Third Proportional to 207.94 and 450.09

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Solution

The third proportional to 207.94 and 450.09 is: 974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 450.09 = 450.09 : x
  2. Step 2: Convert to fraction form
    207.94/450.09 = 450.09/x
  3. Step 3: Cross multiply
    207.94x = 450.09 × 450.09
  4. Step 4: Simplify right side
    207.94x = 202,584.38
  5. Step 5: Solve for x
    x = 202,584.38/207.94
  6. Step 6: Final answer
    x = 974.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.