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Finding the Third Proportional to 184,692 and 401,736

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Solution

The third proportional to 184,692 and 401,736 is: 873,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,692 : 401,736 = 401,736 : x
  2. Step 2: Convert to fraction form
    184,692/401,736 = 401,736/x
  3. Step 3: Cross multiply
    184,692x = 401,736 × 401,736
  4. Step 4: Simplify right side
    184,692x = 161,391,813,696
  5. Step 5: Solve for x
    x = 161,391,813,696/184,692
  6. Step 6: Final answer
    x = 873,843.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.