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Finding the Third Proportional to 184,185 and 284,413.50

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Solution

The third proportional to 184,185 and 284,413.50 is: 439,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,185 : 284,413.50 = 284,413.50 : x
  2. Step 2: Convert to fraction form
    184,185/284,413.50 = 284,413.50/x
  3. Step 3: Cross multiply
    184,185x = 284,413.50 × 284,413.50
  4. Step 4: Simplify right side
    184,185x = 80,891,038,982.25
  5. Step 5: Solve for x
    x = 80,891,038,982.25/184,185
  6. Step 6: Final answer
    x = 439,183.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.