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Finding the Third Proportional to 181,660.22 and 270,413.44

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Solution

The third proportional to 181,660.22 and 270,413.44 is: 402,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,660.22 : 270,413.44 = 270,413.44 : x
  2. Step 2: Convert to fraction form
    181,660.22/270,413.44 = 270,413.44/x
  3. Step 3: Cross multiply
    181,660.22x = 270,413.44 × 270,413.44
  4. Step 4: Simplify right side
    181,660.22x = 73,123,427,180.57
  5. Step 5: Solve for x
    x = 73,123,427,180.57/181,660.22
  6. Step 6: Final answer
    x = 402,528.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.