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Finding the Third Proportional to 122,757 and 264,285.75

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Solution

The third proportional to 122,757 and 264,285.75 is: 568,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757 : 264,285.75 = 264,285.75 : x
  2. Step 2: Convert to fraction form
    122,757/264,285.75 = 264,285.75/x
  3. Step 3: Cross multiply
    122,757x = 264,285.75 × 264,285.75
  4. Step 4: Simplify right side
    122,757x = 69,846,957,653.06
  5. Step 5: Solve for x
    x = 69,846,957,653.06/122,757
  6. Step 6: Final answer
    x = 568,985.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.