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Finding the Third Proportional to 84,615 and 180,894

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Solution

The third proportional to 84,615 and 180,894 is: 386,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615 : 180,894 = 180,894 : x
  2. Step 2: Convert to fraction form
    84,615/180,894 = 180,894/x
  3. Step 3: Cross multiply
    84,615x = 180,894 × 180,894
  4. Step 4: Simplify right side
    84,615x = 32,722,639,236
  5. Step 5: Solve for x
    x = 32,722,639,236/84,615
  6. Step 6: Final answer
    x = 386,723.86

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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.