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Finding the Third Proportional to 122,704.88 and 263,148.75

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Solution

The third proportional to 122,704.88 and 263,148.75 is: 564,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,704.88 : 263,148.75 = 263,148.75 : x
  2. Step 2: Convert to fraction form
    122,704.88/263,148.75 = 263,148.75/x
  3. Step 3: Cross multiply
    122,704.88x = 263,148.75 × 263,148.75
  4. Step 4: Simplify right side
    122,704.88x = 69,247,264,626.56
  5. Step 5: Solve for x
    x = 69,247,264,626.56/122,704.88
  6. Step 6: Final answer
    x = 564,339.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.