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Finding the Third Proportional to 196,275 and 425,742

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Solution

The third proportional to 196,275 and 425,742 is: 923,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,275 : 425,742 = 425,742 : x
  2. Step 2: Convert to fraction form
    196,275/425,742 = 425,742/x
  3. Step 3: Cross multiply
    196,275x = 425,742 × 425,742
  4. Step 4: Simplify right side
    196,275x = 181,256,250,564
  5. Step 5: Solve for x
    x = 181,256,250,564/196,275
  6. Step 6: Final answer
    x = 923,481.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.