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Finding the Third Proportional to 159,941 and 339,562

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Solution

The third proportional to 159,941 and 339,562 is: 720,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,941 : 339,562 = 339,562 : x
  2. Step 2: Convert to fraction form
    159,941/339,562 = 339,562/x
  3. Step 3: Cross multiply
    159,941x = 339,562 × 339,562
  4. Step 4: Simplify right side
    159,941x = 115,302,351,844
  5. Step 5: Solve for x
    x = 115,302,351,844/159,941
  6. Step 6: Final answer
    x = 720,905.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.