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Finding the Third Proportional to 303,180 and 660,147.75

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Solution

The third proportional to 303,180 and 660,147.75 is: 1,437,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,180 : 660,147.75 = 660,147.75 : x
  2. Step 2: Convert to fraction form
    303,180/660,147.75 = 660,147.75/x
  3. Step 3: Cross multiply
    303,180x = 660,147.75 × 660,147.75
  4. Step 4: Simplify right side
    303,180x = 435,795,051,830.06
  5. Step 5: Solve for x
    x = 435,795,051,830.06/303,180
  6. Step 6: Final answer
    x = 1,437,413.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.