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Finding the Third Proportional to 122,805 and 264,285

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Solution

The third proportional to 122,805 and 264,285 is: 568,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,805 : 264,285 = 264,285 : x
  2. Step 2: Convert to fraction form
    122,805/264,285 = 264,285/x
  3. Step 3: Cross multiply
    122,805x = 264,285 × 264,285
  4. Step 4: Simplify right side
    122,805x = 69,846,561,225
  5. Step 5: Solve for x
    x = 69,846,561,225/122,805
  6. Step 6: Final answer
    x = 568,759.91

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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.