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Finding the Third Proportional to 159,774 and 347,734

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Solution

The third proportional to 159,774 and 347,734 is: 756,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,774 : 347,734 = 347,734 : x
  2. Step 2: Convert to fraction form
    159,774/347,734 = 347,734/x
  3. Step 3: Cross multiply
    159,774x = 347,734 × 347,734
  4. Step 4: Simplify right side
    159,774x = 120,918,934,756
  5. Step 5: Solve for x
    x = 120,918,934,756/159,774
  6. Step 6: Final answer
    x = 756,812.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.