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Finding the Third Proportional to 181,299 and 400,182

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Solution

The third proportional to 181,299 and 400,182 is: 883,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,299 : 400,182 = 400,182 : x
  2. Step 2: Convert to fraction form
    181,299/400,182 = 400,182/x
  3. Step 3: Cross multiply
    181,299x = 400,182 × 400,182
  4. Step 4: Simplify right side
    181,299x = 160,145,633,124
  5. Step 5: Solve for x
    x = 160,145,633,124/181,299
  6. Step 6: Final answer
    x = 883,323.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.