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Finding the Third Proportional to 84,273 and 185,493

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Solution

The third proportional to 84,273 and 185,493 is: 408,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,273 : 185,493 = 185,493 : x
  2. Step 2: Convert to fraction form
    84,273/185,493 = 185,493/x
  3. Step 3: Cross multiply
    84,273x = 185,493 × 185,493
  4. Step 4: Simplify right side
    84,273x = 34,407,653,049
  5. Step 5: Solve for x
    x = 34,407,653,049/84,273
  6. Step 6: Final answer
    x = 408,287.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.