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Finding the Third Proportional to 131,323 and 196,936

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Solution

The third proportional to 131,323 and 196,936 is: 295,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,323 : 196,936 = 196,936 : x
  2. Step 2: Convert to fraction form
    131,323/196,936 = 196,936/x
  3. Step 3: Cross multiply
    131,323x = 196,936 × 196,936
  4. Step 4: Simplify right side
    131,323x = 38,783,788,096
  5. Step 5: Solve for x
    x = 38,783,788,096/131,323
  6. Step 6: Final answer
    x = 295,331.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.