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Finding the Third Proportional to 199,491 and 298,561

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Solution

The third proportional to 199,491 and 298,561 is: 446,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,491 : 298,561 = 298,561 : x
  2. Step 2: Convert to fraction form
    199,491/298,561 = 298,561/x
  3. Step 3: Cross multiply
    199,491x = 298,561 × 298,561
  4. Step 4: Simplify right side
    199,491x = 89,138,670,721
  5. Step 5: Solve for x
    x = 89,138,670,721/199,491
  6. Step 6: Final answer
    x = 446,830.54

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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.