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Finding the Third Proportional to 84,296 and 180,986

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Solution

The third proportional to 84,296 and 180,986 is: 388,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296 : 180,986 = 180,986 : x
  2. Step 2: Convert to fraction form
    84,296/180,986 = 180,986/x
  3. Step 3: Cross multiply
    84,296x = 180,986 × 180,986
  4. Step 4: Simplify right side
    84,296x = 32,755,932,196
  5. Step 5: Solve for x
    x = 32,755,932,196/84,296
  6. Step 6: Final answer
    x = 388,582.28

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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.