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Finding the Third Proportional to 150,540 and 206,427

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Solution

The third proportional to 150,540 and 206,427 is: 283,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540 : 206,427 = 206,427 : x
  2. Step 2: Convert to fraction form
    150,540/206,427 = 206,427/x
  3. Step 3: Cross multiply
    150,540x = 206,427 × 206,427
  4. Step 4: Simplify right side
    150,540x = 42,612,106,329
  5. Step 5: Solve for x
    x = 42,612,106,329/150,540
  6. Step 6: Final answer
    x = 283,061.69

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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.