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Finding the Third Proportional to 159,916 and 344,744

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Solution

The third proportional to 159,916 and 344,744 is: 743,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,916 : 344,744 = 344,744 : x
  2. Step 2: Convert to fraction form
    159,916/344,744 = 344,744/x
  3. Step 3: Cross multiply
    159,916x = 344,744 × 344,744
  4. Step 4: Simplify right side
    159,916x = 118,848,425,536
  5. Step 5: Solve for x
    x = 118,848,425,536/159,916
  6. Step 6: Final answer
    x = 743,192.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.