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Finding the Third Proportional to 87,204 and 194,148

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Solution

The third proportional to 87,204 and 194,148 is: 432,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204 : 194,148 = 194,148 : x
  2. Step 2: Convert to fraction form
    87,204/194,148 = 194,148/x
  3. Step 3: Cross multiply
    87,204x = 194,148 × 194,148
  4. Step 4: Simplify right side
    87,204x = 37,693,445,904
  5. Step 5: Solve for x
    x = 37,693,445,904/87,204
  6. Step 6: Final answer
    x = 432,244.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.