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Finding the Third Proportional to 111,297.75 and 262,464.75

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Solution

The third proportional to 111,297.75 and 262,464.75 is: 618,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,297.75 : 262,464.75 = 262,464.75 : x
  2. Step 2: Convert to fraction form
    111,297.75/262,464.75 = 262,464.75/x
  3. Step 3: Cross multiply
    111,297.75x = 262,464.75 × 262,464.75
  4. Step 4: Simplify right side
    111,297.75x = 68,887,744,992.56
  5. Step 5: Solve for x
    x = 68,887,744,992.56/111,297.75
  6. Step 6: Final answer
    x = 618,950.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.