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Finding the Third Proportional to 80,398 and 174,636

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Solution

The third proportional to 80,398 and 174,636 is: 379,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,398 : 174,636 = 174,636 : x
  2. Step 2: Convert to fraction form
    80,398/174,636 = 174,636/x
  3. Step 3: Cross multiply
    80,398x = 174,636 × 174,636
  4. Step 4: Simplify right side
    80,398x = 30,497,732,496
  5. Step 5: Solve for x
    x = 30,497,732,496/80,398
  6. Step 6: Final answer
    x = 379,334.47

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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.