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Finding the Third Proportional to 131,751 and 197,268

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Solution

The third proportional to 131,751 and 197,268 is: 295,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,751 : 197,268 = 197,268 : x
  2. Step 2: Convert to fraction form
    131,751/197,268 = 197,268/x
  3. Step 3: Cross multiply
    131,751x = 197,268 × 197,268
  4. Step 4: Simplify right side
    131,751x = 38,914,663,824
  5. Step 5: Solve for x
    x = 38,914,663,824/131,751
  6. Step 6: Final answer
    x = 295,365.23

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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.