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Finding the Third Proportional to 146,522 and 220,171

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Solution

The third proportional to 146,522 and 220,171 is: 330,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,522 : 220,171 = 220,171 : x
  2. Step 2: Convert to fraction form
    146,522/220,171 = 220,171/x
  3. Step 3: Cross multiply
    146,522x = 220,171 × 220,171
  4. Step 4: Simplify right side
    146,522x = 48,475,269,241
  5. Step 5: Solve for x
    x = 48,475,269,241/146,522
  6. Step 6: Final answer
    x = 330,839.53

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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.