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Finding the Third Proportional to 204,073 and 306,893

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Solution

The third proportional to 204,073 and 306,893 is: 461,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073 : 306,893 = 306,893 : x
  2. Step 2: Convert to fraction form
    204,073/306,893 = 306,893/x
  3. Step 3: Cross multiply
    204,073x = 306,893 × 306,893
  4. Step 4: Simplify right side
    204,073x = 94,183,313,449
  5. Step 5: Solve for x
    x = 94,183,313,449/204,073
  6. Step 6: Final answer
    x = 461,517.76

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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.