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Finding the Third Proportional to 94,256 and 204,880

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Solution

The third proportional to 94,256 and 204,880 is: 445,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,256 : 204,880 = 204,880 : x
  2. Step 2: Convert to fraction form
    94,256/204,880 = 204,880/x
  3. Step 3: Cross multiply
    94,256x = 204,880 × 204,880
  4. Step 4: Simplify right side
    94,256x = 41,975,814,400
  5. Step 5: Solve for x
    x = 41,975,814,400/94,256
  6. Step 6: Final answer
    x = 445,338.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.