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Finding the Third Proportional to 110,667 and 237,112

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Solution

The third proportional to 110,667 and 237,112 is: 508,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,667 : 237,112 = 237,112 : x
  2. Step 2: Convert to fraction form
    110,667/237,112 = 237,112/x
  3. Step 3: Cross multiply
    110,667x = 237,112 × 237,112
  4. Step 4: Simplify right side
    110,667x = 56,222,100,544
  5. Step 5: Solve for x
    x = 56,222,100,544/110,667
  6. Step 6: Final answer
    x = 508,029.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.