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Finding the Third Proportional to 150,036 and 320,168

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Solution

The third proportional to 150,036 and 320,168 is: 683,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,036 : 320,168 = 320,168 : x
  2. Step 2: Convert to fraction form
    150,036/320,168 = 320,168/x
  3. Step 3: Cross multiply
    150,036x = 320,168 × 320,168
  4. Step 4: Simplify right side
    150,036x = 102,507,548,224
  5. Step 5: Solve for x
    x = 102,507,548,224/150,036
  6. Step 6: Final answer
    x = 683,219.68

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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.