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Finding the Third Proportional to 111,462.75 and 248,453.75

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Solution

The third proportional to 111,462.75 and 248,453.75 is: 553,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,462.75 : 248,453.75 = 248,453.75 : x
  2. Step 2: Convert to fraction form
    111,462.75/248,453.75 = 248,453.75/x
  3. Step 3: Cross multiply
    111,462.75x = 248,453.75 × 248,453.75
  4. Step 4: Simplify right side
    111,462.75x = 61,729,265,889.06
  5. Step 5: Solve for x
    x = 61,729,265,889.06/111,462.75
  6. Step 6: Final answer
    x = 553,810.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.