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Finding the Third Proportional to 150,831 and 297,855

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Solution

The third proportional to 150,831 and 297,855 is: 588,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,831 : 297,855 = 297,855 : x
  2. Step 2: Convert to fraction form
    150,831/297,855 = 297,855/x
  3. Step 3: Cross multiply
    150,831x = 297,855 × 297,855
  4. Step 4: Simplify right side
    150,831x = 88,717,601,025
  5. Step 5: Solve for x
    x = 88,717,601,025/150,831
  6. Step 6: Final answer
    x = 588,192.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.