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Finding the Third Proportional to 197,044 and 427,016

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Solution

The third proportional to 197,044 and 427,016 is: 925,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,044 : 427,016 = 427,016 : x
  2. Step 2: Convert to fraction form
    197,044/427,016 = 427,016/x
  3. Step 3: Cross multiply
    197,044x = 427,016 × 427,016
  4. Step 4: Simplify right side
    197,044x = 182,342,664,256
  5. Step 5: Solve for x
    x = 182,342,664,256/197,044
  6. Step 6: Final answer
    x = 925,390.59

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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.