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Finding the Third Proportional to 143,787.66 and 222,413.34

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Solution

The third proportional to 143,787.66 and 222,413.34 is: 344,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,787.66 : 222,413.34 = 222,413.34 : x
  2. Step 2: Convert to fraction form
    143,787.66/222,413.34 = 222,413.34/x
  3. Step 3: Cross multiply
    143,787.66x = 222,413.34 × 222,413.34
  4. Step 4: Simplify right side
    143,787.66x = 49,467,695,478.06
  5. Step 5: Solve for x
    x = 49,467,695,478.06/143,787.66
  6. Step 6: Final answer
    x = 344,032.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.