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Finding the Third Proportional to 84,218 and 181,180

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Solution

The third proportional to 84,218 and 181,180 is: 389,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218 : 181,180 = 181,180 : x
  2. Step 2: Convert to fraction form
    84,218/181,180 = 181,180/x
  3. Step 3: Cross multiply
    84,218x = 181,180 × 181,180
  4. Step 4: Simplify right side
    84,218x = 32,826,192,400
  5. Step 5: Solve for x
    x = 32,826,192,400/84,218
  6. Step 6: Final answer
    x = 389,776.44

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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.