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Finding the Third Proportional to 150,837 and 297,864

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Solution

The third proportional to 150,837 and 297,864 is: 588,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,837 : 297,864 = 297,864 : x
  2. Step 2: Convert to fraction form
    150,837/297,864 = 297,864/x
  3. Step 3: Cross multiply
    150,837x = 297,864 × 297,864
  4. Step 4: Simplify right side
    150,837x = 88,722,962,496
  5. Step 5: Solve for x
    x = 88,722,962,496/150,837
  6. Step 6: Final answer
    x = 588,204.24

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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.