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Finding the Third Proportional to 87,264 and 194,272

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Solution

The third proportional to 87,264 and 194,272 is: 432,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 194,272 = 194,272 : x
  2. Step 2: Convert to fraction form
    87,264/194,272 = 194,272/x
  3. Step 3: Cross multiply
    87,264x = 194,272 × 194,272
  4. Step 4: Simplify right side
    87,264x = 37,741,609,984
  5. Step 5: Solve for x
    x = 37,741,609,984/87,264
  6. Step 6: Final answer
    x = 432,499.20

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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.