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Finding the Third Proportional to 180,168 and 388,848

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Solution

The third proportional to 180,168 and 388,848 is: 839,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 388,848 = 388,848 : x
  2. Step 2: Convert to fraction form
    180,168/388,848 = 388,848/x
  3. Step 3: Cross multiply
    180,168x = 388,848 × 388,848
  4. Step 4: Simplify right side
    180,168x = 151,202,767,104
  5. Step 5: Solve for x
    x = 151,202,767,104/180,168
  6. Step 6: Final answer
    x = 839,232.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.