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Finding the Third Proportional to 192,944 and 290,631

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Solution

The third proportional to 192,944 and 290,631 is: 437,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,944 : 290,631 = 290,631 : x
  2. Step 2: Convert to fraction form
    192,944/290,631 = 290,631/x
  3. Step 3: Cross multiply
    192,944x = 290,631 × 290,631
  4. Step 4: Simplify right side
    192,944x = 84,466,378,161
  5. Step 5: Solve for x
    x = 84,466,378,161/192,944
  6. Step 6: Final answer
    x = 437,776.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.