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Finding the Third Proportional to 150,669 and 206,595

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Solution

The third proportional to 150,669 and 206,595 is: 283,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,669 : 206,595 = 206,595 : x
  2. Step 2: Convert to fraction form
    150,669/206,595 = 206,595/x
  3. Step 3: Cross multiply
    150,669x = 206,595 × 206,595
  4. Step 4: Simplify right side
    150,669x = 42,681,494,025
  5. Step 5: Solve for x
    x = 42,681,494,025/150,669
  6. Step 6: Final answer
    x = 283,279.87

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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.