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Finding the Third Proportional to 211,115.25 and 311,091.75

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Solution

The third proportional to 211,115.25 and 311,091.75 is: 458,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,115.25 : 311,091.75 = 311,091.75 : x
  2. Step 2: Convert to fraction form
    211,115.25/311,091.75 = 311,091.75/x
  3. Step 3: Cross multiply
    211,115.25x = 311,091.75 × 311,091.75
  4. Step 4: Simplify right side
    211,115.25x = 96,778,076,918.06
  5. Step 5: Solve for x
    x = 96,778,076,918.06/211,115.25
  6. Step 6: Final answer
    x = 458,413.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.