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Finding the Third Proportional to 163,775 and 347,234

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Solution

The third proportional to 163,775 and 347,234 is: 736,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,775 : 347,234 = 347,234 : x
  2. Step 2: Convert to fraction form
    163,775/347,234 = 347,234/x
  3. Step 3: Cross multiply
    163,775x = 347,234 × 347,234
  4. Step 4: Simplify right side
    163,775x = 120,571,450,756
  5. Step 5: Solve for x
    x = 120,571,450,756/163,775
  6. Step 6: Final answer
    x = 736,201.81

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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.