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Finding the Third Proportional to 196,927.88 and 401,085

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Solution

The third proportional to 196,927.88 and 401,085 is: 816,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,927.88 : 401,085 = 401,085 : x
  2. Step 2: Convert to fraction form
    196,927.88/401,085 = 401,085/x
  3. Step 3: Cross multiply
    196,927.88x = 401,085 × 401,085
  4. Step 4: Simplify right side
    196,927.88x = 160,869,177,225
  5. Step 5: Solve for x
    x = 160,869,177,225/196,927.88
  6. Step 6: Final answer
    x = 816,893.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.