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Finding the Third Proportional to 198,462 and 299,481

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Solution

The third proportional to 198,462 and 299,481 is: 451,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,462 : 299,481 = 299,481 : x
  2. Step 2: Convert to fraction form
    198,462/299,481 = 299,481/x
  3. Step 3: Cross multiply
    198,462x = 299,481 × 299,481
  4. Step 4: Simplify right side
    198,462x = 89,688,869,361
  5. Step 5: Solve for x
    x = 89,688,869,361/198,462
  6. Step 6: Final answer
    x = 451,919.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.