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Finding the Third Proportional to 243.84 and 433.27

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Solution

The third proportional to 243.84 and 433.27 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 433.27 = 433.27 : x
  2. Step 2: Convert to fraction form
    243.84/433.27 = 433.27/x
  3. Step 3: Cross multiply
    243.84x = 433.27 × 433.27
  4. Step 4: Simplify right side
    243.84x = 187,719.10
  5. Step 5: Solve for x
    x = 187,719.10/243.84
  6. Step 6: Final answer
    x = 769.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.