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Finding the Third Proportional to 184,928 and 395,152

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Solution

The third proportional to 184,928 and 395,152 is: 844,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,928 : 395,152 = 395,152 : x
  2. Step 2: Convert to fraction form
    184,928/395,152 = 395,152/x
  3. Step 3: Cross multiply
    184,928x = 395,152 × 395,152
  4. Step 4: Simplify right side
    184,928x = 156,145,103,104
  5. Step 5: Solve for x
    x = 156,145,103,104/184,928
  6. Step 6: Final answer
    x = 844,356.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.