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Finding the Third Proportional to 193,608 and 419,388

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Solution

The third proportional to 193,608 and 419,388 is: 908,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,608 : 419,388 = 419,388 : x
  2. Step 2: Convert to fraction form
    193,608/419,388 = 419,388/x
  3. Step 3: Cross multiply
    193,608x = 419,388 × 419,388
  4. Step 4: Simplify right side
    193,608x = 175,886,294,544
  5. Step 5: Solve for x
    x = 175,886,294,544/193,608
  6. Step 6: Final answer
    x = 908,466.05

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Why These Related Problems?

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