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Finding the Third Proportional to 108,793 and 238,997

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Solution

The third proportional to 108,793 and 238,997 is: 525,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,793 : 238,997 = 238,997 : x
  2. Step 2: Convert to fraction form
    108,793/238,997 = 238,997/x
  3. Step 3: Cross multiply
    108,793x = 238,997 × 238,997
  4. Step 4: Simplify right side
    108,793x = 57,119,566,009
  5. Step 5: Solve for x
    x = 57,119,566,009/108,793
  6. Step 6: Final answer
    x = 525,029.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.