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Finding the Third Proportional to 199,990.50 and 422,463

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Solution

The third proportional to 199,990.50 and 422,463 is: 892,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,990.50 : 422,463 = 422,463 : x
  2. Step 2: Convert to fraction form
    199,990.50/422,463 = 422,463/x
  3. Step 3: Cross multiply
    199,990.50x = 422,463 × 422,463
  4. Step 4: Simplify right side
    199,990.50x = 178,474,986,369
  5. Step 5: Solve for x
    x = 178,474,986,369/199,990.50
  6. Step 6: Final answer
    x = 892,417.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.