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Finding the Third Proportional to 190,924 and 377,027

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Solution

The third proportional to 190,924 and 377,027 is: 744,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,924 : 377,027 = 377,027 : x
  2. Step 2: Convert to fraction form
    190,924/377,027 = 377,027/x
  3. Step 3: Cross multiply
    190,924x = 377,027 × 377,027
  4. Step 4: Simplify right side
    190,924x = 142,149,358,729
  5. Step 5: Solve for x
    x = 142,149,358,729/190,924
  6. Step 6: Final answer
    x = 744,533.73

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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.