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Finding the Third Proportional to 117,579.94 and 258,570.56

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Solution

The third proportional to 117,579.94 and 258,570.56 is: 568,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,579.94 : 258,570.56 = 258,570.56 : x
  2. Step 2: Convert to fraction form
    117,579.94/258,570.56 = 258,570.56/x
  3. Step 3: Cross multiply
    117,579.94x = 258,570.56 × 258,570.56
  4. Step 4: Simplify right side
    117,579.94x = 66,858,735,791.57
  5. Step 5: Solve for x
    x = 66,858,735,791.57/117,579.94
  6. Step 6: Final answer
    x = 568,623.67

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Why These Related Problems?

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