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Finding the Third Proportional to 150,205.50 and 209,997

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Solution

The third proportional to 150,205.50 and 209,997 is: 293,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,205.50 : 209,997 = 209,997 : x
  2. Step 2: Convert to fraction form
    150,205.50/209,997 = 209,997/x
  3. Step 3: Cross multiply
    150,205.50x = 209,997 × 209,997
  4. Step 4: Simplify right side
    150,205.50x = 44,098,740,009
  5. Step 5: Solve for x
    x = 44,098,740,009/150,205.50
  6. Step 6: Final answer
    x = 293,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.