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Finding the Third Proportional to 227,299 and 340,949

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Solution

The third proportional to 227,299 and 340,949 is: 511,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,299 : 340,949 = 340,949 : x
  2. Step 2: Convert to fraction form
    227,299/340,949 = 340,949/x
  3. Step 3: Cross multiply
    227,299x = 340,949 × 340,949
  4. Step 4: Simplify right side
    227,299x = 116,246,220,601
  5. Step 5: Solve for x
    x = 116,246,220,601/227,299
  6. Step 6: Final answer
    x = 511,424.25

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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.