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Finding the Third Proportional to 150,859 and 297,869

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Solution

The third proportional to 150,859 and 297,869 is: 588,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,859 : 297,869 = 297,869 : x
  2. Step 2: Convert to fraction form
    150,859/297,869 = 297,869/x
  3. Step 3: Cross multiply
    150,859x = 297,869 × 297,869
  4. Step 4: Simplify right side
    150,859x = 88,725,941,161
  5. Step 5: Solve for x
    x = 88,725,941,161/150,859
  6. Step 6: Final answer
    x = 588,138.20

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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.