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Finding the Third Proportional to 197,067 and 430,940

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Solution

The third proportional to 197,067 and 430,940 is: 942,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,067 : 430,940 = 430,940 : x
  2. Step 2: Convert to fraction form
    197,067/430,940 = 430,940/x
  3. Step 3: Cross multiply
    197,067x = 430,940 × 430,940
  4. Step 4: Simplify right side
    197,067x = 185,709,283,600
  5. Step 5: Solve for x
    x = 185,709,283,600/197,067
  6. Step 6: Final answer
    x = 942,366.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.