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Finding the Third Proportional to 268,296 and 363,078

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Solution

The third proportional to 268,296 and 363,078 is: 491,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,296 : 363,078 = 363,078 : x
  2. Step 2: Convert to fraction form
    268,296/363,078 = 363,078/x
  3. Step 3: Cross multiply
    268,296x = 363,078 × 363,078
  4. Step 4: Simplify right side
    268,296x = 131,825,634,084
  5. Step 5: Solve for x
    x = 131,825,634,084/268,296
  6. Step 6: Final answer
    x = 491,344.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.