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Finding the Third Proportional to 158,276.25 and 322,413.75

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Solution

The third proportional to 158,276.25 and 322,413.75 is: 656,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,276.25 : 322,413.75 = 322,413.75 : x
  2. Step 2: Convert to fraction form
    158,276.25/322,413.75 = 322,413.75/x
  3. Step 3: Cross multiply
    158,276.25x = 322,413.75 × 322,413.75
  4. Step 4: Simplify right side
    158,276.25x = 103,950,626,189.06
  5. Step 5: Solve for x
    x = 103,950,626,189.06/158,276.25
  6. Step 6: Final answer
    x = 656,767.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.