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Finding the Third Proportional to 178,413.75 and 273,272.25

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Solution

The third proportional to 178,413.75 and 273,272.25 is: 418,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,413.75 : 273,272.25 = 273,272.25 : x
  2. Step 2: Convert to fraction form
    178,413.75/273,272.25 = 273,272.25/x
  3. Step 3: Cross multiply
    178,413.75x = 273,272.25 × 273,272.25
  4. Step 4: Simplify right side
    178,413.75x = 74,677,722,620.06
  5. Step 5: Solve for x
    x = 74,677,722,620.06/178,413.75
  6. Step 6: Final answer
    x = 418,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.