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Finding the Third Proportional to 135,407.25 and 293,413.50

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Solution

The third proportional to 135,407.25 and 293,413.50 is: 635,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,407.25 : 293,413.50 = 293,413.50 : x
  2. Step 2: Convert to fraction form
    135,407.25/293,413.50 = 293,413.50/x
  3. Step 3: Cross multiply
    135,407.25x = 293,413.50 × 293,413.50
  4. Step 4: Simplify right side
    135,407.25x = 86,091,481,982.25
  5. Step 5: Solve for x
    x = 86,091,481,982.25/135,407.25
  6. Step 6: Final answer
    x = 635,796.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.