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Finding the Third Proportional to 196,926.75 and 401,080.50

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Solution

The third proportional to 196,926.75 and 401,080.50 is: 816,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,926.75 : 401,080.50 = 401,080.50 : x
  2. Step 2: Convert to fraction form
    196,926.75/401,080.50 = 401,080.50/x
  3. Step 3: Cross multiply
    196,926.75x = 401,080.50 × 401,080.50
  4. Step 4: Simplify right side
    196,926.75x = 160,865,567,480.25
  5. Step 5: Solve for x
    x = 160,865,567,480.25/196,926.75
  6. Step 6: Final answer
    x = 816,880.22

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