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Finding the Third Proportional to 94,434 and 204,356

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Solution

The third proportional to 94,434 and 204,356 is: 442,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,434 : 204,356 = 204,356 : x
  2. Step 2: Convert to fraction form
    94,434/204,356 = 204,356/x
  3. Step 3: Cross multiply
    94,434x = 204,356 × 204,356
  4. Step 4: Simplify right side
    94,434x = 41,761,374,736
  5. Step 5: Solve for x
    x = 41,761,374,736/94,434
  6. Step 6: Final answer
    x = 442,228.17

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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.