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Finding the Third Proportional to 135,681.75 and 286,413.75

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Solution

The third proportional to 135,681.75 and 286,413.75 is: 604,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,681.75 : 286,413.75 = 286,413.75 : x
  2. Step 2: Convert to fraction form
    135,681.75/286,413.75 = 286,413.75/x
  3. Step 3: Cross multiply
    135,681.75x = 286,413.75 × 286,413.75
  4. Step 4: Simplify right side
    135,681.75x = 82,032,836,189.06
  5. Step 5: Solve for x
    x = 82,032,836,189.06/135,681.75
  6. Step 6: Final answer
    x = 604,597.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.