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Finding the Third Proportional to 192,913 and 400,610

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Solution

The third proportional to 192,913 and 400,610 is: 831,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,913 : 400,610 = 400,610 : x
  2. Step 2: Convert to fraction form
    192,913/400,610 = 400,610/x
  3. Step 3: Cross multiply
    192,913x = 400,610 × 400,610
  4. Step 4: Simplify right side
    192,913x = 160,488,372,100
  5. Step 5: Solve for x
    x = 160,488,372,100/192,913
  6. Step 6: Final answer
    x = 831,920.98

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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.