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Finding the Third Proportional to 206,413.31 and 315,775.13

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Solution

The third proportional to 206,413.31 and 315,775.13 is: 483,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.31 : 315,775.13 = 315,775.13 : x
  2. Step 2: Convert to fraction form
    206,413.31/315,775.13 = 315,775.13/x
  3. Step 3: Cross multiply
    206,413.31x = 315,775.13 × 315,775.13
  4. Step 4: Simplify right side
    206,413.31x = 99,713,929,568.77
  5. Step 5: Solve for x
    x = 99,713,929,568.77/206,413.31
  6. Step 6: Final answer
    x = 483,078.97

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