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Finding the Third Proportional to 353.81 and 768.09

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Solution

The third proportional to 353.81 and 768.09 is: 1,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.81 : 768.09 = 768.09 : x
  2. Step 2: Convert to fraction form
    353.81/768.09 = 768.09/x
  3. Step 3: Cross multiply
    353.81x = 768.09 × 768.09
  4. Step 4: Simplify right side
    353.81x = 589,968.01
  5. Step 5: Solve for x
    x = 589,968.01/353.81
  6. Step 6: Final answer
    x = 1,667.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.