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Finding the Third Proportional to 190,968 and 377,112

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Solution

The third proportional to 190,968 and 377,112 is: 744,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,968 : 377,112 = 377,112 : x
  2. Step 2: Convert to fraction form
    190,968/377,112 = 377,112/x
  3. Step 3: Cross multiply
    190,968x = 377,112 × 377,112
  4. Step 4: Simplify right side
    190,968x = 142,213,460,544
  5. Step 5: Solve for x
    x = 142,213,460,544/190,968
  6. Step 6: Final answer
    x = 744,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.