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Finding the Third Proportional to 204,208 and 298,392

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Solution

The third proportional to 204,208 and 298,392 is: 436,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,208 : 298,392 = 298,392 : x
  2. Step 2: Convert to fraction form
    204,208/298,392 = 298,392/x
  3. Step 3: Cross multiply
    204,208x = 298,392 × 298,392
  4. Step 4: Simplify right side
    204,208x = 89,037,785,664
  5. Step 5: Solve for x
    x = 89,037,785,664/204,208
  6. Step 6: Final answer
    x = 436,015.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.