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Finding the Third Proportional to 196,676.44 and 422,026.88

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Solution

The third proportional to 196,676.44 and 422,026.88 is: 905,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,676.44 : 422,026.88 = 422,026.88 : x
  2. Step 2: Convert to fraction form
    196,676.44/422,026.88 = 422,026.88/x
  3. Step 3: Cross multiply
    196,676.44x = 422,026.88 × 422,026.88
  4. Step 4: Simplify right side
    196,676.44x = 178,106,683,222.27
  5. Step 5: Solve for x
    x = 178,106,683,222.27/196,676.44
  6. Step 6: Final answer
    x = 905,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.