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Finding the Third Proportional to 150,012 and 320,112

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Solution

The third proportional to 150,012 and 320,112 is: 683,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012 : 320,112 = 320,112 : x
  2. Step 2: Convert to fraction form
    150,012/320,112 = 320,112/x
  3. Step 3: Cross multiply
    150,012x = 320,112 × 320,112
  4. Step 4: Simplify right side
    150,012x = 102,471,692,544
  5. Step 5: Solve for x
    x = 102,471,692,544/150,012
  6. Step 6: Final answer
    x = 683,089.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.