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Finding the Third Proportional to 104,658 and 214,824

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Solution

The third proportional to 104,658 and 214,824 is: 440,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,658 : 214,824 = 214,824 : x
  2. Step 2: Convert to fraction form
    104,658/214,824 = 214,824/x
  3. Step 3: Cross multiply
    104,658x = 214,824 × 214,824
  4. Step 4: Simplify right side
    104,658x = 46,149,350,976
  5. Step 5: Solve for x
    x = 46,149,350,976/104,658
  6. Step 6: Final answer
    x = 440,953.88

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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.