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Finding the Third Proportional to 184,209 and 395,323.50

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Solution

The third proportional to 184,209 and 395,323.50 is: 848,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209 : 395,323.50 = 395,323.50 : x
  2. Step 2: Convert to fraction form
    184,209/395,323.50 = 395,323.50/x
  3. Step 3: Cross multiply
    184,209x = 395,323.50 × 395,323.50
  4. Step 4: Simplify right side
    184,209x = 156,280,669,652.25
  5. Step 5: Solve for x
    x = 156,280,669,652.25/184,209
  6. Step 6: Final answer
    x = 848,387.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.