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Finding the Third Proportional to 80,256 and 170,881

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Solution

The third proportional to 80,256 and 170,881 is: 363,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,256 : 170,881 = 170,881 : x
  2. Step 2: Convert to fraction form
    80,256/170,881 = 170,881/x
  3. Step 3: Cross multiply
    80,256x = 170,881 × 170,881
  4. Step 4: Simplify right side
    80,256x = 29,200,316,161
  5. Step 5: Solve for x
    x = 29,200,316,161/80,256
  6. Step 6: Final answer
    x = 363,839.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.