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Finding the Third Proportional to 153,469.69 and 333,183.38

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Solution

The third proportional to 153,469.69 and 333,183.38 is: 723,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,469.69 : 333,183.38 = 333,183.38 : x
  2. Step 2: Convert to fraction form
    153,469.69/333,183.38 = 333,183.38/x
  3. Step 3: Cross multiply
    153,469.69x = 333,183.38 × 333,183.38
  4. Step 4: Simplify right side
    153,469.69x = 111,011,161,376.39
  5. Step 5: Solve for x
    x = 111,011,161,376.39/153,469.69
  6. Step 6: Final answer
    x = 723,342.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.