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Finding the Third Proportional to 192,744 and 296,631

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Solution

The third proportional to 192,744 and 296,631 is: 456,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,744 : 296,631 = 296,631 : x
  2. Step 2: Convert to fraction form
    192,744/296,631 = 296,631/x
  3. Step 3: Cross multiply
    192,744x = 296,631 × 296,631
  4. Step 4: Simplify right side
    192,744x = 87,989,950,161
  5. Step 5: Solve for x
    x = 87,989,950,161/192,744
  6. Step 6: Final answer
    x = 456,512.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.