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Finding the Third Proportional to 150,687 and 206,622

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Solution

The third proportional to 150,687 and 206,622 is: 283,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 206,622 = 206,622 : x
  2. Step 2: Convert to fraction form
    150,687/206,622 = 206,622/x
  3. Step 3: Cross multiply
    150,687x = 206,622 × 206,622
  4. Step 4: Simplify right side
    150,687x = 42,692,650,884
  5. Step 5: Solve for x
    x = 42,692,650,884/150,687
  6. Step 6: Final answer
    x = 283,320.07

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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.