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Finding the Third Proportional to 150,684 and 227,976

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Solution

The third proportional to 150,684 and 227,976 is: 344,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684 : 227,976 = 227,976 : x
  2. Step 2: Convert to fraction form
    150,684/227,976 = 227,976/x
  3. Step 3: Cross multiply
    150,684x = 227,976 × 227,976
  4. Step 4: Simplify right side
    150,684x = 51,973,056,576
  5. Step 5: Solve for x
    x = 51,973,056,576/150,684
  6. Step 6: Final answer
    x = 344,914.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.