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Finding the Third Proportional to 141,469 and 303,183

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Solution

The third proportional to 141,469 and 303,183 is: 649,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,469 : 303,183 = 303,183 : x
  2. Step 2: Convert to fraction form
    141,469/303,183 = 303,183/x
  3. Step 3: Cross multiply
    141,469x = 303,183 × 303,183
  4. Step 4: Simplify right side
    141,469x = 91,919,931,489
  5. Step 5: Solve for x
    x = 91,919,931,489/141,469
  6. Step 6: Final answer
    x = 649,753.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.