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Finding the Third Proportional to 197,181 and 430,398

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Solution

The third proportional to 197,181 and 430,398 is: 939,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,181 : 430,398 = 430,398 : x
  2. Step 2: Convert to fraction form
    197,181/430,398 = 430,398/x
  3. Step 3: Cross multiply
    197,181x = 430,398 × 430,398
  4. Step 4: Simplify right side
    197,181x = 185,242,438,404
  5. Step 5: Solve for x
    x = 185,242,438,404/197,181
  6. Step 6: Final answer
    x = 939,453.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.