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Finding the Third Proportional to 204,081 and 306,327

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Solution

The third proportional to 204,081 and 306,327 is: 459,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,081 : 306,327 = 306,327 : x
  2. Step 2: Convert to fraction form
    204,081/306,327 = 306,327/x
  3. Step 3: Cross multiply
    204,081x = 306,327 × 306,327
  4. Step 4: Simplify right side
    204,081x = 93,836,230,929
  5. Step 5: Solve for x
    x = 93,836,230,929/204,081
  6. Step 6: Final answer
    x = 459,798.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.