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Finding the Third Proportional to 111,719.25 and 263,493

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Solution

The third proportional to 111,719.25 and 263,493 is: 621,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,719.25 : 263,493 = 263,493 : x
  2. Step 2: Convert to fraction form
    111,719.25/263,493 = 263,493/x
  3. Step 3: Cross multiply
    111,719.25x = 263,493 × 263,493
  4. Step 4: Simplify right side
    111,719.25x = 69,428,561,049
  5. Step 5: Solve for x
    x = 69,428,561,049/111,719.25
  6. Step 6: Final answer
    x = 621,455.67

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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.