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Finding the Third Proportional to 196,685.72 and 422,045.44

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Solution

The third proportional to 196,685.72 and 422,045.44 is: 905,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,685.72 : 422,045.44 = 422,045.44 : x
  2. Step 2: Convert to fraction form
    196,685.72/422,045.44 = 422,045.44/x
  3. Step 3: Cross multiply
    196,685.72x = 422,045.44 × 422,045.44
  4. Step 4: Simplify right side
    196,685.72x = 178,122,351,314.57
  5. Step 5: Solve for x
    x = 178,122,351,314.57/196,685.72
  6. Step 6: Final answer
    x = 905,619.14

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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.