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Finding the Third Proportional to 150,512 and 227,044

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Solution

The third proportional to 150,512 and 227,044 is: 342,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,512 : 227,044 = 227,044 : x
  2. Step 2: Convert to fraction form
    150,512/227,044 = 227,044/x
  3. Step 3: Cross multiply
    150,512x = 227,044 × 227,044
  4. Step 4: Simplify right side
    150,512x = 51,548,977,936
  5. Step 5: Solve for x
    x = 51,548,977,936/150,512
  6. Step 6: Final answer
    x = 342,490.82

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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.