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Finding the Third Proportional to 150,062 and 320,212

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Solution

The third proportional to 150,062 and 320,212 is: 683,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,062 : 320,212 = 320,212 : x
  2. Step 2: Convert to fraction form
    150,062/320,212 = 320,212/x
  3. Step 3: Cross multiply
    150,062x = 320,212 × 320,212
  4. Step 4: Simplify right side
    150,062x = 102,535,724,944
  5. Step 5: Solve for x
    x = 102,535,724,944/150,062
  6. Step 6: Final answer
    x = 683,289.07

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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.