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Finding the Third Proportional to 193,958 and 301,027

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Solution

The third proportional to 193,958 and 301,027 is: 467,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,958 : 301,027 = 301,027 : x
  2. Step 2: Convert to fraction form
    193,958/301,027 = 301,027/x
  3. Step 3: Cross multiply
    193,958x = 301,027 × 301,027
  4. Step 4: Simplify right side
    193,958x = 90,617,254,729
  5. Step 5: Solve for x
    x = 90,617,254,729/193,958
  6. Step 6: Final answer
    x = 467,200.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.