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Finding the Third Proportional to 150,854 and 297,898

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Solution

The third proportional to 150,854 and 297,898 is: 588,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854 : 297,898 = 297,898 : x
  2. Step 2: Convert to fraction form
    150,854/297,898 = 297,898/x
  3. Step 3: Cross multiply
    150,854x = 297,898 × 297,898
  4. Step 4: Simplify right side
    150,854x = 88,743,218,404
  5. Step 5: Solve for x
    x = 88,743,218,404/150,854
  6. Step 6: Final answer
    x = 588,272.23

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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.