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Finding the Third Proportional to 150,698 and 206,638

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Solution

The third proportional to 150,698 and 206,638 is: 283,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,698 : 206,638 = 206,638 : x
  2. Step 2: Convert to fraction form
    150,698/206,638 = 206,638/x
  3. Step 3: Cross multiply
    150,698x = 206,638 × 206,638
  4. Step 4: Simplify right side
    150,698x = 42,699,263,044
  5. Step 5: Solve for x
    x = 42,699,263,044/150,698
  6. Step 6: Final answer
    x = 283,343.26

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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.