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Finding the Third Proportional to 146,162 and 220,206

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Solution

The third proportional to 146,162 and 220,206 is: 331,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,162 : 220,206 = 220,206 : x
  2. Step 2: Convert to fraction form
    146,162/220,206 = 220,206/x
  3. Step 3: Cross multiply
    146,162x = 220,206 × 220,206
  4. Step 4: Simplify right side
    146,162x = 48,490,682,436
  5. Step 5: Solve for x
    x = 48,490,682,436/146,162
  6. Step 6: Final answer
    x = 331,759.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.