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Finding the Third Proportional to 230,838 and 347,775

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Solution

The third proportional to 230,838 and 347,775 is: 523,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838 : 347,775 = 347,775 : x
  2. Step 2: Convert to fraction form
    230,838/347,775 = 347,775/x
  3. Step 3: Cross multiply
    230,838x = 347,775 × 347,775
  4. Step 4: Simplify right side
    230,838x = 120,947,450,625
  5. Step 5: Solve for x
    x = 120,947,450,625/230,838
  6. Step 6: Final answer
    x = 523,949.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.