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Finding the Third Proportional to 150,694 and 206,631

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Solution

The third proportional to 150,694 and 206,631 is: 283,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,694 : 206,631 = 206,631 : x
  2. Step 2: Convert to fraction form
    150,694/206,631 = 206,631/x
  3. Step 3: Cross multiply
    150,694x = 206,631 × 206,631
  4. Step 4: Simplify right side
    150,694x = 42,696,370,161
  5. Step 5: Solve for x
    x = 42,696,370,161/150,694
  6. Step 6: Final answer
    x = 283,331.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.