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Finding the Third Proportional to 149,675 and 320,104

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Solution

The third proportional to 149,675 and 320,104 is: 684,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,675 : 320,104 = 320,104 : x
  2. Step 2: Convert to fraction form
    149,675/320,104 = 320,104/x
  3. Step 3: Cross multiply
    149,675x = 320,104 × 320,104
  4. Step 4: Simplify right side
    149,675x = 102,466,570,816
  5. Step 5: Solve for x
    x = 102,466,570,816/149,675
  6. Step 6: Final answer
    x = 684,593.76

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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.