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Finding the Third Proportional to 104,624 and 214,756

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Solution

The third proportional to 104,624 and 214,756 is: 440,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,624 : 214,756 = 214,756 : x
  2. Step 2: Convert to fraction form
    104,624/214,756 = 214,756/x
  3. Step 3: Cross multiply
    104,624x = 214,756 × 214,756
  4. Step 4: Simplify right side
    104,624x = 46,120,139,536
  5. Step 5: Solve for x
    x = 46,120,139,536/104,624
  6. Step 6: Final answer
    x = 440,817.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.