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Finding the Third Proportional to 108,538 and 232,649

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Solution

The third proportional to 108,538 and 232,649 is: 498,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538 : 232,649 = 232,649 : x
  2. Step 2: Convert to fraction form
    108,538/232,649 = 232,649/x
  3. Step 3: Cross multiply
    108,538x = 232,649 × 232,649
  4. Step 4: Simplify right side
    108,538x = 54,125,557,201
  5. Step 5: Solve for x
    x = 54,125,557,201/108,538
  6. Step 6: Final answer
    x = 498,678.41

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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.