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Finding the Third Proportional to 180,204 and 371,832

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Solution

The third proportional to 180,204 and 371,832 is: 767,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,204 : 371,832 = 371,832 : x
  2. Step 2: Convert to fraction form
    180,204/371,832 = 371,832/x
  3. Step 3: Cross multiply
    180,204x = 371,832 × 371,832
  4. Step 4: Simplify right side
    180,204x = 138,259,036,224
  5. Step 5: Solve for x
    x = 138,259,036,224/180,204
  6. Step 6: Final answer
    x = 767,236.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.