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Finding the Third Proportional to 181,323 and 387,593

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Solution

The third proportional to 181,323 and 387,593 is: 828,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,323 : 387,593 = 387,593 : x
  2. Step 2: Convert to fraction form
    181,323/387,593 = 387,593/x
  3. Step 3: Cross multiply
    181,323x = 387,593 × 387,593
  4. Step 4: Simplify right side
    181,323x = 150,228,333,649
  5. Step 5: Solve for x
    x = 150,228,333,649/181,323
  6. Step 6: Final answer
    x = 828,512.29

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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.