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Finding the Third Proportional to 185,669 and 270,679

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Solution

The third proportional to 185,669 and 270,679 is: 394,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,669 : 270,679 = 270,679 : x
  2. Step 2: Convert to fraction form
    185,669/270,679 = 270,679/x
  3. Step 3: Cross multiply
    185,669x = 270,679 × 270,679
  4. Step 4: Simplify right side
    185,669x = 73,267,121,041
  5. Step 5: Solve for x
    x = 73,267,121,041/185,669
  6. Step 6: Final answer
    x = 394,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.