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Finding the Third Proportional to 84,678 and 186,068

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Solution

The third proportional to 84,678 and 186,068 is: 408,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678 : 186,068 = 186,068 : x
  2. Step 2: Convert to fraction form
    84,678/186,068 = 186,068/x
  3. Step 3: Cross multiply
    84,678x = 186,068 × 186,068
  4. Step 4: Simplify right side
    84,678x = 34,621,300,624
  5. Step 5: Solve for x
    x = 34,621,300,624/84,678
  6. Step 6: Final answer
    x = 408,858.27

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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.