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Finding the Third Proportional to 146,122.50 and 220,149

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Solution

The third proportional to 146,122.50 and 220,149 is: 331,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,122.50 : 220,149 = 220,149 : x
  2. Step 2: Convert to fraction form
    146,122.50/220,149 = 220,149/x
  3. Step 3: Cross multiply
    146,122.50x = 220,149 × 220,149
  4. Step 4: Simplify right side
    146,122.50x = 48,465,582,201
  5. Step 5: Solve for x
    x = 48,465,582,201/146,122.50
  6. Step 6: Final answer
    x = 331,677.75

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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.