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Finding the Third Proportional to 196,131 and 293,933

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Solution

The third proportional to 196,131 and 293,933 is: 440,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,131 : 293,933 = 293,933 : x
  2. Step 2: Convert to fraction form
    196,131/293,933 = 293,933/x
  3. Step 3: Cross multiply
    196,131x = 293,933 × 293,933
  4. Step 4: Simplify right side
    196,131x = 86,396,608,489
  5. Step 5: Solve for x
    x = 86,396,608,489/196,131
  6. Step 6: Final answer
    x = 440,504.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.