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Finding the Third Proportional to 80,387 and 174,608

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Solution

The third proportional to 80,387 and 174,608 is: 379,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387 : 174,608 = 174,608 : x
  2. Step 2: Convert to fraction form
    80,387/174,608 = 174,608/x
  3. Step 3: Cross multiply
    80,387x = 174,608 × 174,608
  4. Step 4: Simplify right side
    80,387x = 30,487,953,664
  5. Step 5: Solve for x
    x = 30,487,953,664/80,387
  6. Step 6: Final answer
    x = 379,264.73

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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.