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Finding the Third Proportional to 146,964 and 220,122

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Solution

The third proportional to 146,964 and 220,122 is: 329,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,964 : 220,122 = 220,122 : x
  2. Step 2: Convert to fraction form
    146,964/220,122 = 220,122/x
  3. Step 3: Cross multiply
    146,964x = 220,122 × 220,122
  4. Step 4: Simplify right side
    146,964x = 48,453,694,884
  5. Step 5: Solve for x
    x = 48,453,694,884/146,964
  6. Step 6: Final answer
    x = 329,697.71

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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.