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Finding the Third Proportional to 131,249 and 196,833

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Solution

The third proportional to 131,249 and 196,833 is: 295,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,249 : 196,833 = 196,833 : x
  2. Step 2: Convert to fraction form
    131,249/196,833 = 196,833/x
  3. Step 3: Cross multiply
    131,249x = 196,833 × 196,833
  4. Step 4: Simplify right side
    131,249x = 38,743,229,889
  5. Step 5: Solve for x
    x = 38,743,229,889/131,249
  6. Step 6: Final answer
    x = 295,188.76

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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.