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Finding the Third Proportional to 199,494 and 299,727

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Solution

The third proportional to 199,494 and 299,727 is: 450,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 299,727 = 299,727 : x
  2. Step 2: Convert to fraction form
    199,494/299,727 = 299,727/x
  3. Step 3: Cross multiply
    199,494x = 299,727 × 299,727
  4. Step 4: Simplify right side
    199,494x = 89,836,274,529
  5. Step 5: Solve for x
    x = 89,836,274,529/199,494
  6. Step 6: Final answer
    x = 450,320.68

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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.