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Finding the Third Proportional to 94,529 and 204,573

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Solution

The third proportional to 94,529 and 204,573 is: 442,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,529 : 204,573 = 204,573 : x
  2. Step 2: Convert to fraction form
    94,529/204,573 = 204,573/x
  3. Step 3: Cross multiply
    94,529x = 204,573 × 204,573
  4. Step 4: Simplify right side
    94,529x = 41,850,112,329
  5. Step 5: Solve for x
    x = 41,850,112,329/94,529
  6. Step 6: Final answer
    x = 442,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.