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Finding the Third Proportional to 146,514 and 220,161

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Solution

The third proportional to 146,514 and 220,161 is: 330,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,514 : 220,161 = 220,161 : x
  2. Step 2: Convert to fraction form
    146,514/220,161 = 220,161/x
  3. Step 3: Cross multiply
    146,514x = 220,161 × 220,161
  4. Step 4: Simplify right side
    146,514x = 48,470,865,921
  5. Step 5: Solve for x
    x = 48,470,865,921/146,514
  6. Step 6: Final answer
    x = 330,827.54

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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.