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Finding the Third Proportional to 159,934 and 342,012

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Solution

The third proportional to 159,934 and 342,012 is: 731,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,934 : 342,012 = 342,012 : x
  2. Step 2: Convert to fraction form
    159,934/342,012 = 342,012/x
  3. Step 3: Cross multiply
    159,934x = 342,012 × 342,012
  4. Step 4: Simplify right side
    159,934x = 116,972,208,144
  5. Step 5: Solve for x
    x = 116,972,208,144/159,934
  6. Step 6: Final answer
    x = 731,377.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.