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Finding the Third Proportional to 131,290 and 196,891

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Solution

The third proportional to 131,290 and 196,891 is: 295,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,290 : 196,891 = 196,891 : x
  2. Step 2: Convert to fraction form
    131,290/196,891 = 196,891/x
  3. Step 3: Cross multiply
    131,290x = 196,891 × 196,891
  4. Step 4: Simplify right side
    131,290x = 38,766,065,881
  5. Step 5: Solve for x
    x = 38,766,065,881/131,290
  6. Step 6: Final answer
    x = 295,270.51

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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.