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Finding the Third Proportional to 94,232 and 204,824

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Solution

The third proportional to 94,232 and 204,824 is: 445,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,232 : 204,824 = 204,824 : x
  2. Step 2: Convert to fraction form
    94,232/204,824 = 204,824/x
  3. Step 3: Cross multiply
    94,232x = 204,824 × 204,824
  4. Step 4: Simplify right side
    94,232x = 41,952,870,976
  5. Step 5: Solve for x
    x = 41,952,870,976/94,232
  6. Step 6: Final answer
    x = 445,208.33

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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.