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Finding the Third Proportional to 128,148.75 and 299,413.13

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Solution

The third proportional to 128,148.75 and 299,413.13 is: 699,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,148.75 : 299,413.13 = 299,413.13 : x
  2. Step 2: Convert to fraction form
    128,148.75/299,413.13 = 299,413.13/x
  3. Step 3: Cross multiply
    128,148.75x = 299,413.13 × 299,413.13
  4. Step 4: Simplify right side
    128,148.75x = 89,648,219,422.27
  5. Step 5: Solve for x
    x = 89,648,219,422.27/128,148.75
  6. Step 6: Final answer
    x = 699,563.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.