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Finding the Third Proportional to 102,185 and 238,675

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Solution

The third proportional to 102,185 and 238,675 is: 557,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185 : 238,675 = 238,675 : x
  2. Step 2: Convert to fraction form
    102,185/238,675 = 238,675/x
  3. Step 3: Cross multiply
    102,185x = 238,675 × 238,675
  4. Step 4: Simplify right side
    102,185x = 56,965,755,625
  5. Step 5: Solve for x
    x = 56,965,755,625/102,185
  6. Step 6: Final answer
    x = 557,476.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.