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Finding the Third Proportional to 111,229.88 and 262,455.75

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Solution

The third proportional to 111,229.88 and 262,455.75 is: 619,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,229.88 : 262,455.75 = 262,455.75 : x
  2. Step 2: Convert to fraction form
    111,229.88/262,455.75 = 262,455.75/x
  3. Step 3: Cross multiply
    111,229.88x = 262,455.75 × 262,455.75
  4. Step 4: Simplify right side
    111,229.88x = 68,883,020,708.06
  5. Step 5: Solve for x
    x = 68,883,020,708.06/111,229.88
  6. Step 6: Final answer
    x = 619,285.25

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