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Finding the Third Proportional to 199,174 and 298,977

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Solution

The third proportional to 199,174 and 298,977 is: 448,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,174 : 298,977 = 298,977 : x
  2. Step 2: Convert to fraction form
    199,174/298,977 = 298,977/x
  3. Step 3: Cross multiply
    199,174x = 298,977 × 298,977
  4. Step 4: Simplify right side
    199,174x = 89,387,246,529
  5. Step 5: Solve for x
    x = 89,387,246,529/199,174
  6. Step 6: Final answer
    x = 448,789.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.