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Finding the Third Proportional to 150,692 and 206,629

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Solution

The third proportional to 150,692 and 206,629 is: 283,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,692 : 206,629 = 206,629 : x
  2. Step 2: Convert to fraction form
    150,692/206,629 = 206,629/x
  3. Step 3: Cross multiply
    150,692x = 206,629 × 206,629
  4. Step 4: Simplify right side
    150,692x = 42,695,543,641
  5. Step 5: Solve for x
    x = 42,695,543,641/150,692
  6. Step 6: Final answer
    x = 283,329.86

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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.