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Finding the Third Proportional to 146,882 and 219,766

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Solution

The third proportional to 146,882 and 219,766 is: 328,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,882 : 219,766 = 219,766 : x
  2. Step 2: Convert to fraction form
    146,882/219,766 = 219,766/x
  3. Step 3: Cross multiply
    146,882x = 219,766 × 219,766
  4. Step 4: Simplify right side
    146,882x = 48,297,094,756
  5. Step 5: Solve for x
    x = 48,297,094,756/146,882
  6. Step 6: Final answer
    x = 328,815.61

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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.