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Finding the Third Proportional to 187,413.75 and 390,379.50

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Solution

The third proportional to 187,413.75 and 390,379.50 is: 813,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,413.75 : 390,379.50 = 390,379.50 : x
  2. Step 2: Convert to fraction form
    187,413.75/390,379.50 = 390,379.50/x
  3. Step 3: Cross multiply
    187,413.75x = 390,379.50 × 390,379.50
  4. Step 4: Simplify right side
    187,413.75x = 152,396,154,020.25
  5. Step 5: Solve for x
    x = 152,396,154,020.25/187,413.75
  6. Step 6: Final answer
    x = 813,153.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.