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Finding the Third Proportional to 84,591 and 180,846

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Solution

The third proportional to 84,591 and 180,846 is: 386,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591 : 180,846 = 180,846 : x
  2. Step 2: Convert to fraction form
    84,591/180,846 = 180,846/x
  3. Step 3: Cross multiply
    84,591x = 180,846 × 180,846
  4. Step 4: Simplify right side
    84,591x = 32,705,275,716
  5. Step 5: Solve for x
    x = 32,705,275,716/84,591
  6. Step 6: Final answer
    x = 386,628.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.