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Finding the Third Proportional to 197,144 and 446,933

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Solution

The third proportional to 197,144 and 446,933 is: 1,013,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,144 : 446,933 = 446,933 : x
  2. Step 2: Convert to fraction form
    197,144/446,933 = 446,933/x
  3. Step 3: Cross multiply
    197,144x = 446,933 × 446,933
  4. Step 4: Simplify right side
    197,144x = 199,749,106,489
  5. Step 5: Solve for x
    x = 199,749,106,489/197,144
  6. Step 6: Final answer
    x = 1,013,214.23

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.