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Finding the Third Proportional to 117,708.75 and 261,570.75

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Solution

The third proportional to 117,708.75 and 261,570.75 is: 581,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708.75 : 261,570.75 = 261,570.75 : x
  2. Step 2: Convert to fraction form
    117,708.75/261,570.75 = 261,570.75/x
  3. Step 3: Cross multiply
    117,708.75x = 261,570.75 × 261,570.75
  4. Step 4: Simplify right side
    117,708.75x = 68,419,257,255.56
  5. Step 5: Solve for x
    x = 68,419,257,255.56/117,708.75
  6. Step 6: Final answer
    x = 581,258.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.