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Finding the Third Proportional to 122,523 and 263,820

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Solution

The third proportional to 122,523 and 263,820 is: 568,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523 : 263,820 = 263,820 : x
  2. Step 2: Convert to fraction form
    122,523/263,820 = 263,820/x
  3. Step 3: Cross multiply
    122,523x = 263,820 × 263,820
  4. Step 4: Simplify right side
    122,523x = 69,600,992,400
  5. Step 5: Solve for x
    x = 69,600,992,400/122,523
  6. Step 6: Final answer
    x = 568,064.71

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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.