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Finding the Third Proportional to 104,383 and 232,671

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Solution

The third proportional to 104,383 and 232,671 is: 518,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,383 : 232,671 = 232,671 : x
  2. Step 2: Convert to fraction form
    104,383/232,671 = 232,671/x
  3. Step 3: Cross multiply
    104,383x = 232,671 × 232,671
  4. Step 4: Simplify right side
    104,383x = 54,135,794,241
  5. Step 5: Solve for x
    x = 54,135,794,241/104,383
  6. Step 6: Final answer
    x = 518,626.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.