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Finding the Third Proportional to 197,350 and 300,176

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Solution

The third proportional to 197,350 and 300,176 is: 456,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,350 : 300,176 = 300,176 : x
  2. Step 2: Convert to fraction form
    197,350/300,176 = 300,176/x
  3. Step 3: Cross multiply
    197,350x = 300,176 × 300,176
  4. Step 4: Simplify right side
    197,350x = 90,105,630,976
  5. Step 5: Solve for x
    x = 90,105,630,976/197,350
  6. Step 6: Final answer
    x = 456,577.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.