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Finding the Third Proportional to 84,736 and 186,496

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Solution

The third proportional to 84,736 and 186,496 is: 410,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,736 : 186,496 = 186,496 : x
  2. Step 2: Convert to fraction form
    84,736/186,496 = 186,496/x
  3. Step 3: Cross multiply
    84,736x = 186,496 × 186,496
  4. Step 4: Simplify right side
    84,736x = 34,780,758,016
  5. Step 5: Solve for x
    x = 34,780,758,016/84,736
  6. Step 6: Final answer
    x = 410,460.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.