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Finding the Third Proportional to 219,844.13 and 330,311.25

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Solution

The third proportional to 219,844.13 and 330,311.25 is: 496,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,844.13 : 330,311.25 = 330,311.25 : x
  2. Step 2: Convert to fraction form
    219,844.13/330,311.25 = 330,311.25/x
  3. Step 3: Cross multiply
    219,844.13x = 330,311.25 × 330,311.25
  4. Step 4: Simplify right side
    219,844.13x = 109,105,521,876.56
  5. Step 5: Solve for x
    x = 109,105,521,876.56/219,844.13
  6. Step 6: Final answer
    x = 496,285.82

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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.