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Finding the Third Proportional to 192,948 and 400,446

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Solution

The third proportional to 192,948 and 400,446 is: 831,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,948 : 400,446 = 400,446 : x
  2. Step 2: Convert to fraction form
    192,948/400,446 = 400,446/x
  3. Step 3: Cross multiply
    192,948x = 400,446 × 400,446
  4. Step 4: Simplify right side
    192,948x = 160,356,998,916
  5. Step 5: Solve for x
    x = 160,356,998,916/192,948
  6. Step 6: Final answer
    x = 831,089.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.