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Finding the Third Proportional to 227,999 and 340,722

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Solution

The third proportional to 227,999 and 340,722 is: 509,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,999 : 340,722 = 340,722 : x
  2. Step 2: Convert to fraction form
    227,999/340,722 = 340,722/x
  3. Step 3: Cross multiply
    227,999x = 340,722 × 340,722
  4. Step 4: Simplify right side
    227,999x = 116,091,481,284
  5. Step 5: Solve for x
    x = 116,091,481,284/227,999
  6. Step 6: Final answer
    x = 509,175.40

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Why These Related Problems?

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