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Finding the Third Proportional to 117,576.56 and 258,563.81

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Solution

The third proportional to 117,576.56 and 258,563.81 is: 568,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,576.56 : 258,563.81 = 258,563.81 : x
  2. Step 2: Convert to fraction form
    117,576.56/258,563.81 = 258,563.81/x
  3. Step 3: Cross multiply
    117,576.56x = 258,563.81 × 258,563.81
  4. Step 4: Simplify right side
    117,576.56x = 66,855,245,134.54
  5. Step 5: Solve for x
    x = 66,855,245,134.54/117,576.56
  6. Step 6: Final answer
    x = 568,610.31

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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.