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Finding the Third Proportional to 150,191 and 209,977

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Solution

The third proportional to 150,191 and 209,977 is: 293,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,191 : 209,977 = 209,977 : x
  2. Step 2: Convert to fraction form
    150,191/209,977 = 209,977/x
  3. Step 3: Cross multiply
    150,191x = 209,977 × 209,977
  4. Step 4: Simplify right side
    150,191x = 44,090,340,529
  5. Step 5: Solve for x
    x = 44,090,340,529/150,191
  6. Step 6: Final answer
    x = 293,561.80

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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.