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Finding the Third Proportional to 180,081 and 244,173

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Solution

The third proportional to 180,081 and 244,173 is: 331,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,081 : 244,173 = 244,173 : x
  2. Step 2: Convert to fraction form
    180,081/244,173 = 244,173/x
  3. Step 3: Cross multiply
    180,081x = 244,173 × 244,173
  4. Step 4: Simplify right side
    180,081x = 59,620,453,929
  5. Step 5: Solve for x
    x = 59,620,453,929/180,081
  6. Step 6: Final answer
    x = 331,075.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.