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Finding the Third Proportional to 196,369.88 and 300,267

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Solution

The third proportional to 196,369.88 and 300,267 is: 459,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,369.88 : 300,267 = 300,267 : x
  2. Step 2: Convert to fraction form
    196,369.88/300,267 = 300,267/x
  3. Step 3: Cross multiply
    196,369.88x = 300,267 × 300,267
  4. Step 4: Simplify right side
    196,369.88x = 90,160,271,289
  5. Step 5: Solve for x
    x = 90,160,271,289/196,369.88
  6. Step 6: Final answer
    x = 459,134.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.