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Finding the Third Proportional to 85,467 and 182,598

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Solution

The third proportional to 85,467 and 182,598 is: 390,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,467 : 182,598 = 182,598 : x
  2. Step 2: Convert to fraction form
    85,467/182,598 = 182,598/x
  3. Step 3: Cross multiply
    85,467x = 182,598 × 182,598
  4. Step 4: Simplify right side
    85,467x = 33,342,029,604
  5. Step 5: Solve for x
    x = 33,342,029,604/85,467
  6. Step 6: Final answer
    x = 390,115.83

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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.