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Finding the Third Proportional to 196,851.94 and 406,827.56

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Solution

The third proportional to 196,851.94 and 406,827.56 is: 840,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,851.94 : 406,827.56 = 406,827.56 : x
  2. Step 2: Convert to fraction form
    196,851.94/406,827.56 = 406,827.56/x
  3. Step 3: Cross multiply
    196,851.94x = 406,827.56 × 406,827.56
  4. Step 4: Simplify right side
    196,851.94x = 165,508,665,609.69
  5. Step 5: Solve for x
    x = 165,508,665,609.69/196,851.94
  6. Step 6: Final answer
    x = 840,777.43

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.