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Finding the Third Proportional to 207.94 and 437.44

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Solution

The third proportional to 207.94 and 437.44 is: 920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 437.44 = 437.44 : x
  2. Step 2: Convert to fraction form
    207.94/437.44 = 437.44/x
  3. Step 3: Cross multiply
    207.94x = 437.44 × 437.44
  4. Step 4: Simplify right side
    207.94x = 191,351.57
  5. Step 5: Solve for x
    x = 191,351.57/207.94
  6. Step 6: Final answer
    x = 920.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.