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Finding the Third Proportional to 196,446.25 and 290,986.13

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Solution

The third proportional to 196,446.25 and 290,986.13 is: 431,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,446.25 : 290,986.13 = 290,986.13 : x
  2. Step 2: Convert to fraction form
    196,446.25/290,986.13 = 290,986.13/x
  3. Step 3: Cross multiply
    196,446.25x = 290,986.13 × 290,986.13
  4. Step 4: Simplify right side
    196,446.25x = 84,672,924,942.52
  5. Step 5: Solve for x
    x = 84,672,924,942.52/196,446.25
  6. Step 6: Final answer
    x = 431,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.