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Finding the Third Proportional to 181,467 and 283,599

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Solution

The third proportional to 181,467 and 283,599 is: 443,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 283,599 = 283,599 : x
  2. Step 2: Convert to fraction form
    181,467/283,599 = 283,599/x
  3. Step 3: Cross multiply
    181,467x = 283,599 × 283,599
  4. Step 4: Simplify right side
    181,467x = 80,428,392,801
  5. Step 5: Solve for x
    x = 80,428,392,801/181,467
  6. Step 6: Final answer
    x = 443,212.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.