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Finding the Third Proportional to 146,230 and 220,424

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Solution

The third proportional to 146,230 and 220,424 is: 332,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,230 : 220,424 = 220,424 : x
  2. Step 2: Convert to fraction form
    146,230/220,424 = 220,424/x
  3. Step 3: Cross multiply
    146,230x = 220,424 × 220,424
  4. Step 4: Simplify right side
    146,230x = 48,586,739,776
  5. Step 5: Solve for x
    x = 48,586,739,776/146,230
  6. Step 6: Final answer
    x = 332,262.46

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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.