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Finding the Third Proportional to 146,450 and 219,171

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Solution

The third proportional to 146,450 and 219,171 is: 328,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,450 : 219,171 = 219,171 : x
  2. Step 2: Convert to fraction form
    146,450/219,171 = 219,171/x
  3. Step 3: Cross multiply
    146,450x = 219,171 × 219,171
  4. Step 4: Simplify right side
    146,450x = 48,035,927,241
  5. Step 5: Solve for x
    x = 48,035,927,241/146,450
  6. Step 6: Final answer
    x = 328,002.23

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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.