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Finding the Third Proportional to 86,321 and 188,653

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Solution

The third proportional to 86,321 and 188,653 is: 412,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,321 : 188,653 = 188,653 : x
  2. Step 2: Convert to fraction form
    86,321/188,653 = 188,653/x
  3. Step 3: Cross multiply
    86,321x = 188,653 × 188,653
  4. Step 4: Simplify right side
    86,321x = 35,589,954,409
  5. Step 5: Solve for x
    x = 35,589,954,409/86,321
  6. Step 6: Final answer
    x = 412,297.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.