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Finding the Third Proportional to 80,291 and 174,881

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Solution

The third proportional to 80,291 and 174,881 is: 380,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,291 : 174,881 = 174,881 : x
  2. Step 2: Convert to fraction form
    80,291/174,881 = 174,881/x
  3. Step 3: Cross multiply
    80,291x = 174,881 × 174,881
  4. Step 4: Simplify right side
    80,291x = 30,583,364,161
  5. Step 5: Solve for x
    x = 30,583,364,161/80,291
  6. Step 6: Final answer
    x = 380,906.50

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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.