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Finding the Third Proportional to 147,234 and 196,163

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Solution

The third proportional to 147,234 and 196,163 is: 261,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,234 : 196,163 = 196,163 : x
  2. Step 2: Convert to fraction form
    147,234/196,163 = 196,163/x
  3. Step 3: Cross multiply
    147,234x = 196,163 × 196,163
  4. Step 4: Simplify right side
    147,234x = 38,479,922,569
  5. Step 5: Solve for x
    x = 38,479,922,569/147,234
  6. Step 6: Final answer
    x = 261,352.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.