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Finding the Third Proportional to 181,926.75 and 286,255.50

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Solution

The third proportional to 181,926.75 and 286,255.50 is: 450,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,926.75 : 286,255.50 = 286,255.50 : x
  2. Step 2: Convert to fraction form
    181,926.75/286,255.50 = 286,255.50/x
  3. Step 3: Cross multiply
    181,926.75x = 286,255.50 × 286,255.50
  4. Step 4: Simplify right side
    181,926.75x = 81,942,211,280.25
  5. Step 5: Solve for x
    x = 81,942,211,280.25/181,926.75
  6. Step 6: Final answer
    x = 450,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.