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Finding the Third Proportional to 197,322 and 426,171

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Solution

The third proportional to 197,322 and 426,171 is: 920,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,322 : 426,171 = 426,171 : x
  2. Step 2: Convert to fraction form
    197,322/426,171 = 426,171/x
  3. Step 3: Cross multiply
    197,322x = 426,171 × 426,171
  4. Step 4: Simplify right side
    197,322x = 181,621,721,241
  5. Step 5: Solve for x
    x = 181,621,721,241/197,322
  6. Step 6: Final answer
    x = 920,433.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.