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Finding the Third Proportional to 193,940.25 and 411,205.50

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Solution

The third proportional to 193,940.25 and 411,205.50 is: 871,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,940.25 : 411,205.50 = 411,205.50 : x
  2. Step 2: Convert to fraction form
    193,940.25/411,205.50 = 411,205.50/x
  3. Step 3: Cross multiply
    193,940.25x = 411,205.50 × 411,205.50
  4. Step 4: Simplify right side
    193,940.25x = 169,089,963,230.25
  5. Step 5: Solve for x
    x = 169,089,963,230.25/193,940.25
  6. Step 6: Final answer
    x = 871,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.