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Finding the Third Proportional to 146,947.50 and 219,850.88

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Solution

The third proportional to 146,947.50 and 219,850.88 is: 328,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,947.50 : 219,850.88 = 219,850.88 : x
  2. Step 2: Convert to fraction form
    146,947.50/219,850.88 = 219,850.88/x
  3. Step 3: Cross multiply
    146,947.50x = 219,850.88 × 219,850.88
  4. Step 4: Simplify right side
    146,947.50x = 48,334,407,238.27
  5. Step 5: Solve for x
    x = 48,334,407,238.27/146,947.50
  6. Step 6: Final answer
    x = 328,922.96

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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.