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Finding the Third Proportional to 219,309.38 and 330,584.06

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Solution

The third proportional to 219,309.38 and 330,584.06 is: 498,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.38 : 330,584.06 = 330,584.06 : x
  2. Step 2: Convert to fraction form
    219,309.38/330,584.06 = 330,584.06/x
  3. Step 3: Cross multiply
    219,309.38x = 330,584.06 × 330,584.06
  4. Step 4: Simplify right side
    219,309.38x = 109,285,822,379.00
  5. Step 5: Solve for x
    x = 109,285,822,379.00/219,309.38
  6. Step 6: Final answer
    x = 498,318.06

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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.