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Finding the Third Proportional to 111,226 and 239,950

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Solution

The third proportional to 111,226 and 239,950 is: 517,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,226 : 239,950 = 239,950 : x
  2. Step 2: Convert to fraction form
    111,226/239,950 = 239,950/x
  3. Step 3: Cross multiply
    111,226x = 239,950 × 239,950
  4. Step 4: Simplify right side
    111,226x = 57,576,002,500
  5. Step 5: Solve for x
    x = 57,576,002,500/111,226
  6. Step 6: Final answer
    x = 517,648.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.