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Finding the Third Proportional to 150,356.25 and 211,546.69

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Solution

The third proportional to 150,356.25 and 211,546.69 is: 297,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,356.25 : 211,546.69 = 211,546.69 : x
  2. Step 2: Convert to fraction form
    150,356.25/211,546.69 = 211,546.69/x
  3. Step 3: Cross multiply
    150,356.25x = 211,546.69 × 211,546.69
  4. Step 4: Simplify right side
    150,356.25x = 44,752,000,992.22
  5. Step 5: Solve for x
    x = 44,752,000,992.22/150,356.25
  6. Step 6: Final answer
    x = 297,639.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.