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Finding the Third Proportional to 199,017 and 298,404

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Solution

The third proportional to 199,017 and 298,404 is: 447,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,017 : 298,404 = 298,404 : x
  2. Step 2: Convert to fraction form
    199,017/298,404 = 298,404/x
  3. Step 3: Cross multiply
    199,017x = 298,404 × 298,404
  4. Step 4: Simplify right side
    199,017x = 89,044,947,216
  5. Step 5: Solve for x
    x = 89,044,947,216/199,017
  6. Step 6: Final answer
    x = 447,423.82

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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.