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Finding the Third Proportional to 199,497 and 299,451

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Solution

The third proportional to 199,497 and 299,451 is: 449,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,497 : 299,451 = 299,451 : x
  2. Step 2: Convert to fraction form
    199,497/299,451 = 299,451/x
  3. Step 3: Cross multiply
    199,497x = 299,451 × 299,451
  4. Step 4: Simplify right side
    199,497x = 89,670,901,401
  5. Step 5: Solve for x
    x = 89,670,901,401/199,497
  6. Step 6: Final answer
    x = 449,484.96

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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.