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Finding the Third Proportional to 150,183 and 209,965.50

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Solution

The third proportional to 150,183 and 209,965.50 is: 293,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,183 : 209,965.50 = 209,965.50 : x
  2. Step 2: Convert to fraction form
    150,183/209,965.50 = 209,965.50/x
  3. Step 3: Cross multiply
    150,183x = 209,965.50 × 209,965.50
  4. Step 4: Simplify right side
    150,183x = 44,085,511,190.25
  5. Step 5: Solve for x
    x = 44,085,511,190.25/150,183
  6. Step 6: Final answer
    x = 293,545.28

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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.