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Finding the Third Proportional to 110,326 and 239,324

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Solution

The third proportional to 110,326 and 239,324 is: 519,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,326 : 239,324 = 239,324 : x
  2. Step 2: Convert to fraction form
    110,326/239,324 = 239,324/x
  3. Step 3: Cross multiply
    110,326x = 239,324 × 239,324
  4. Step 4: Simplify right side
    110,326x = 57,275,976,976
  5. Step 5: Solve for x
    x = 57,275,976,976/110,326
  6. Step 6: Final answer
    x = 519,152.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.