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Finding the Third Proportional to 204,085 and 306,333

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Solution

The third proportional to 204,085 and 306,333 is: 459,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085 : 306,333 = 306,333 : x
  2. Step 2: Convert to fraction form
    204,085/306,333 = 306,333/x
  3. Step 3: Cross multiply
    204,085x = 306,333 × 306,333
  4. Step 4: Simplify right side
    204,085x = 93,839,906,889
  5. Step 5: Solve for x
    x = 93,839,906,889/204,085
  6. Step 6: Final answer
    x = 459,807.96

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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.