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Finding the Third Proportional to 207.94 and 333.09

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Solution

The third proportional to 207.94 and 333.09 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 333.09 = 333.09 : x
  2. Step 2: Convert to fraction form
    207.94/333.09 = 333.09/x
  3. Step 3: Cross multiply
    207.94x = 333.09 × 333.09
  4. Step 4: Simplify right side
    207.94x = 110,951.45
  5. Step 5: Solve for x
    x = 110,951.45/207.94
  6. Step 6: Final answer
    x = 533.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.