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Finding the Third Proportional to 192,413.81 and 409,741.88

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Solution

The third proportional to 192,413.81 and 409,741.88 is: 872,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,413.81 : 409,741.88 = 409,741.88 : x
  2. Step 2: Convert to fraction form
    192,413.81/409,741.88 = 409,741.88/x
  3. Step 3: Cross multiply
    192,413.81x = 409,741.88 × 409,741.88
  4. Step 4: Simplify right side
    192,413.81x = 167,888,404,128.52
  5. Step 5: Solve for x
    x = 167,888,404,128.52/192,413.81
  6. Step 6: Final answer
    x = 872,538.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.