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Finding the Third Proportional to 150,580.69 and 220,843.13

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Solution

The third proportional to 150,580.69 and 220,843.13 is: 323,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,580.69 : 220,843.13 = 220,843.13 : x
  2. Step 2: Convert to fraction form
    150,580.69/220,843.13 = 220,843.13/x
  3. Step 3: Cross multiply
    150,580.69x = 220,843.13 × 220,843.13
  4. Step 4: Simplify right side
    150,580.69x = 48,771,685,859.77
  5. Step 5: Solve for x
    x = 48,771,685,859.77/150,580.69
  6. Step 6: Final answer
    x = 323,890.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.