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Finding the Third Proportional to 117,589 and 258,589

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Solution

The third proportional to 117,589 and 258,589 is: 568,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,589 : 258,589 = 258,589 : x
  2. Step 2: Convert to fraction form
    117,589/258,589 = 258,589/x
  3. Step 3: Cross multiply
    117,589x = 258,589 × 258,589
  4. Step 4: Simplify right side
    117,589x = 66,868,270,921
  5. Step 5: Solve for x
    x = 66,868,270,921/117,589
  6. Step 6: Final answer
    x = 568,660.94

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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.