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Finding the Third Proportional to 227,736 and 340,551

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Solution

The third proportional to 227,736 and 340,551 is: 509,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,736 : 340,551 = 340,551 : x
  2. Step 2: Convert to fraction form
    227,736/340,551 = 340,551/x
  3. Step 3: Cross multiply
    227,736x = 340,551 × 340,551
  4. Step 4: Simplify right side
    227,736x = 115,974,983,601
  5. Step 5: Solve for x
    x = 115,974,983,601/227,736
  6. Step 6: Final answer
    x = 509,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.