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Finding the Third Proportional to 230,558 and 345,837

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Solution

The third proportional to 230,558 and 345,837 is: 518,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558 : 345,837 = 345,837 : x
  2. Step 2: Convert to fraction form
    230,558/345,837 = 345,837/x
  3. Step 3: Cross multiply
    230,558x = 345,837 × 345,837
  4. Step 4: Simplify right side
    230,558x = 119,603,230,569
  5. Step 5: Solve for x
    x = 119,603,230,569/230,558
  6. Step 6: Final answer
    x = 518,755.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.