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Finding the Third Proportional to 197,041 and 427,010

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Solution

The third proportional to 197,041 and 427,010 is: 925,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,041 : 427,010 = 427,010 : x
  2. Step 2: Convert to fraction form
    197,041/427,010 = 427,010/x
  3. Step 3: Cross multiply
    197,041x = 427,010 × 427,010
  4. Step 4: Simplify right side
    197,041x = 182,337,540,100
  5. Step 5: Solve for x
    x = 182,337,540,100/197,041
  6. Step 6: Final answer
    x = 925,378.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.