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Finding the Third Proportional to 80,327 and 174,951

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Solution

The third proportional to 80,327 and 174,951 is: 381,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,327 : 174,951 = 174,951 : x
  2. Step 2: Convert to fraction form
    80,327/174,951 = 174,951/x
  3. Step 3: Cross multiply
    80,327x = 174,951 × 174,951
  4. Step 4: Simplify right side
    80,327x = 30,607,852,401
  5. Step 5: Solve for x
    x = 30,607,852,401/80,327
  6. Step 6: Final answer
    x = 381,040.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.