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Finding the Third Proportional to 166,413.38 and 364,503.75

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Solution

The third proportional to 166,413.38 and 364,503.75 is: 798,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413.38 : 364,503.75 = 364,503.75 : x
  2. Step 2: Convert to fraction form
    166,413.38/364,503.75 = 364,503.75/x
  3. Step 3: Cross multiply
    166,413.38x = 364,503.75 × 364,503.75
  4. Step 4: Simplify right side
    166,413.38x = 132,862,983,764.06
  5. Step 5: Solve for x
    x = 132,862,983,764.06/166,413.38
  6. Step 6: Final answer
    x = 798,391.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.