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Finding the Third Proportional to 228,722 and 339,756

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Solution

The third proportional to 228,722 and 339,756 is: 504,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,722 : 339,756 = 339,756 : x
  2. Step 2: Convert to fraction form
    228,722/339,756 = 339,756/x
  3. Step 3: Cross multiply
    228,722x = 339,756 × 339,756
  4. Step 4: Simplify right side
    228,722x = 115,434,139,536
  5. Step 5: Solve for x
    x = 115,434,139,536/228,722
  6. Step 6: Final answer
    x = 504,691.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.