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Finding the Third Proportional to 150,180 and 209,961

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Solution

The third proportional to 150,180 and 209,961 is: 293,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,180 : 209,961 = 209,961 : x
  2. Step 2: Convert to fraction form
    150,180/209,961 = 209,961/x
  3. Step 3: Cross multiply
    150,180x = 209,961 × 209,961
  4. Step 4: Simplify right side
    150,180x = 44,083,621,521
  5. Step 5: Solve for x
    x = 44,083,621,521/150,180
  6. Step 6: Final answer
    x = 293,538.56

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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.