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Finding the Third Proportional to 87,174 and 186,336

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Solution

The third proportional to 87,174 and 186,336 is: 398,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,174 : 186,336 = 186,336 : x
  2. Step 2: Convert to fraction form
    87,174/186,336 = 186,336/x
  3. Step 3: Cross multiply
    87,174x = 186,336 × 186,336
  4. Step 4: Simplify right side
    87,174x = 34,721,104,896
  5. Step 5: Solve for x
    x = 34,721,104,896/87,174
  6. Step 6: Final answer
    x = 398,296.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.