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Finding the Third Proportional to 181,469 and 413,933

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Solution

The third proportional to 181,469 and 413,933 is: 944,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,469 : 413,933 = 413,933 : x
  2. Step 2: Convert to fraction form
    181,469/413,933 = 413,933/x
  3. Step 3: Cross multiply
    181,469x = 413,933 × 413,933
  4. Step 4: Simplify right side
    181,469x = 171,340,528,489
  5. Step 5: Solve for x
    x = 171,340,528,489/181,469
  6. Step 6: Final answer
    x = 944,186.22

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.