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Finding the Third Proportional to 84,064 and 180,884

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Solution

The third proportional to 84,064 and 180,884 is: 389,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064 : 180,884 = 180,884 : x
  2. Step 2: Convert to fraction form
    84,064/180,884 = 180,884/x
  3. Step 3: Cross multiply
    84,064x = 180,884 × 180,884
  4. Step 4: Simplify right side
    84,064x = 32,719,021,456
  5. Step 5: Solve for x
    x = 32,719,021,456/84,064
  6. Step 6: Final answer
    x = 389,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.