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Finding the Third Proportional to 196,389 and 300,295

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Solution

The third proportional to 196,389 and 300,295 is: 459,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,389 : 300,295 = 300,295 : x
  2. Step 2: Convert to fraction form
    196,389/300,295 = 300,295/x
  3. Step 3: Cross multiply
    196,389x = 300,295 × 300,295
  4. Step 4: Simplify right side
    196,389x = 90,177,087,025
  5. Step 5: Solve for x
    x = 90,177,087,025/196,389
  6. Step 6: Final answer
    x = 459,175.86

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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.