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Finding the Third Proportional to 110,413.13 and 239,496.75

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Solution

The third proportional to 110,413.13 and 239,496.75 is: 519,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.13 : 239,496.75 = 239,496.75 : x
  2. Step 2: Convert to fraction form
    110,413.13/239,496.75 = 239,496.75/x
  3. Step 3: Cross multiply
    110,413.13x = 239,496.75 × 239,496.75
  4. Step 4: Simplify right side
    110,413.13x = 57,358,693,260.56
  5. Step 5: Solve for x
    x = 57,358,693,260.56/110,413.13
  6. Step 6: Final answer
    x = 519,491.62

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