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Finding the Third Proportional to 131,048 and 196,364

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Solution

The third proportional to 131,048 and 196,364 is: 294,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,048 : 196,364 = 196,364 : x
  2. Step 2: Convert to fraction form
    131,048/196,364 = 196,364/x
  3. Step 3: Cross multiply
    131,048x = 196,364 × 196,364
  4. Step 4: Simplify right side
    131,048x = 38,558,820,496
  5. Step 5: Solve for x
    x = 38,558,820,496/131,048
  6. Step 6: Final answer
    x = 294,234.33

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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.