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Finding the Third Proportional to 80,394 and 174,623

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Solution

The third proportional to 80,394 and 174,623 is: 379,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394 : 174,623 = 174,623 : x
  2. Step 2: Convert to fraction form
    80,394/174,623 = 174,623/x
  3. Step 3: Cross multiply
    80,394x = 174,623 × 174,623
  4. Step 4: Simplify right side
    80,394x = 30,493,192,129
  5. Step 5: Solve for x
    x = 30,493,192,129/80,394
  6. Step 6: Final answer
    x = 379,296.86

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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.