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Finding the Third Proportional to 150,642 and 206,563

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Solution

The third proportional to 150,642 and 206,563 is: 283,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642 : 206,563 = 206,563 : x
  2. Step 2: Convert to fraction form
    150,642/206,563 = 206,563/x
  3. Step 3: Cross multiply
    150,642x = 206,563 × 206,563
  4. Step 4: Simplify right side
    150,642x = 42,668,272,969
  5. Step 5: Solve for x
    x = 42,668,272,969/150,642
  6. Step 6: Final answer
    x = 283,242.87

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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.