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Finding the Third Proportional to 111,395.25 and 182,867.63

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Solution

The third proportional to 111,395.25 and 182,867.63 is: 300,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,395.25 : 182,867.63 = 182,867.63 : x
  2. Step 2: Convert to fraction form
    111,395.25/182,867.63 = 182,867.63/x
  3. Step 3: Cross multiply
    111,395.25x = 182,867.63 × 182,867.63
  4. Step 4: Simplify right side
    111,395.25x = 33,440,568,273.14
  5. Step 5: Solve for x
    x = 33,440,568,273.14/111,395.25
  6. Step 6: Final answer
    x = 300,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.