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Finding the Third Proportional to 146,540.25 and 219,195

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Solution

The third proportional to 146,540.25 and 219,195 is: 327,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540.25 : 219,195 = 219,195 : x
  2. Step 2: Convert to fraction form
    146,540.25/219,195 = 219,195/x
  3. Step 3: Cross multiply
    146,540.25x = 219,195 × 219,195
  4. Step 4: Simplify right side
    146,540.25x = 48,046,448,025
  5. Step 5: Solve for x
    x = 48,046,448,025/146,540.25
  6. Step 6: Final answer
    x = 327,872.02

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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.