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Finding the Third Proportional to 159,992.25 and 342,755.63

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Solution

The third proportional to 159,992.25 and 342,755.63 is: 734,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,992.25 : 342,755.63 = 342,755.63 : x
  2. Step 2: Convert to fraction form
    159,992.25/342,755.63 = 342,755.63/x
  3. Step 3: Cross multiply
    159,992.25x = 342,755.63 × 342,755.63
  4. Step 4: Simplify right side
    159,992.25x = 117,481,418,469.14
  5. Step 5: Solve for x
    x = 117,481,418,469.14/159,992.25
  6. Step 6: Final answer
    x = 734,294.43

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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.