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Finding the Third Proportional to 196,706.25 and 422,079.75

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Solution

The third proportional to 196,706.25 and 422,079.75 is: 905,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,706.25 : 422,079.75 = 422,079.75 : x
  2. Step 2: Convert to fraction form
    196,706.25/422,079.75 = 422,079.75/x
  3. Step 3: Cross multiply
    196,706.25x = 422,079.75 × 422,079.75
  4. Step 4: Simplify right side
    196,706.25x = 178,151,315,360.06
  5. Step 5: Solve for x
    x = 178,151,315,360.06/196,706.25
  6. Step 6: Final answer
    x = 905,671.86

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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.