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Finding the Third Proportional to 150,832 and 297,854

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Solution

The third proportional to 150,832 and 297,854 is: 588,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,832 : 297,854 = 297,854 : x
  2. Step 2: Convert to fraction form
    150,832/297,854 = 297,854/x
  3. Step 3: Cross multiply
    150,832x = 297,854 × 297,854
  4. Step 4: Simplify right side
    150,832x = 88,717,005,316
  5. Step 5: Solve for x
    x = 88,717,005,316/150,832
  6. Step 6: Final answer
    x = 588,184.24

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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.