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Finding the Third Proportional to 84,219 and 181,795

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Solution

The third proportional to 84,219 and 181,795 is: 392,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219 : 181,795 = 181,795 : x
  2. Step 2: Convert to fraction form
    84,219/181,795 = 181,795/x
  3. Step 3: Cross multiply
    84,219x = 181,795 × 181,795
  4. Step 4: Simplify right side
    84,219x = 33,049,422,025
  5. Step 5: Solve for x
    x = 33,049,422,025/84,219
  6. Step 6: Final answer
    x = 392,422.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.