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Finding the Third Proportional to 122,799.38 and 264,273.38

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Solution

The third proportional to 122,799.38 and 264,273.38 is: 568,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,799.38 : 264,273.38 = 264,273.38 : x
  2. Step 2: Convert to fraction form
    122,799.38/264,273.38 = 264,273.38/x
  3. Step 3: Cross multiply
    122,799.38x = 264,273.38 × 264,273.38
  4. Step 4: Simplify right side
    122,799.38x = 69,840,416,733.89
  5. Step 5: Solve for x
    x = 69,840,416,733.89/122,799.38
  6. Step 6: Final answer
    x = 568,735.93

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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.