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Finding the Third Proportional to 196,924.50 and 401,068.13

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Solution

The third proportional to 196,924.50 and 401,068.13 is: 816,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,924.50 : 401,068.13 = 401,068.13 : x
  2. Step 2: Convert to fraction form
    196,924.50/401,068.13 = 401,068.13/x
  3. Step 3: Cross multiply
    196,924.50x = 401,068.13 × 401,068.13
  4. Step 4: Simplify right side
    196,924.50x = 160,855,640,891.02
  5. Step 5: Solve for x
    x = 160,855,640,891.02/196,924.50
  6. Step 6: Final answer
    x = 816,839.15

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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.