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Finding the Third Proportional to 204,084 and 306,328

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Solution

The third proportional to 204,084 and 306,328 is: 459,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,084 : 306,328 = 306,328 : x
  2. Step 2: Convert to fraction form
    204,084/306,328 = 306,328/x
  3. Step 3: Cross multiply
    204,084x = 306,328 × 306,328
  4. Step 4: Simplify right side
    204,084x = 93,836,843,584
  5. Step 5: Solve for x
    x = 93,836,843,584/204,084
  6. Step 6: Final answer
    x = 459,795.20

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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.