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Finding the Third Proportional to 87,425 and 182,230

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Solution

The third proportional to 87,425 and 182,230 is: 379,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,425 : 182,230 = 182,230 : x
  2. Step 2: Convert to fraction form
    87,425/182,230 = 182,230/x
  3. Step 3: Cross multiply
    87,425x = 182,230 × 182,230
  4. Step 4: Simplify right side
    87,425x = 33,207,772,900
  5. Step 5: Solve for x
    x = 33,207,772,900/87,425
  6. Step 6: Final answer
    x = 379,842.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.