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Finding the Third Proportional to 196,421 and 300,338

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Solution

The third proportional to 196,421 and 300,338 is: 459,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,421 : 300,338 = 300,338 : x
  2. Step 2: Convert to fraction form
    196,421/300,338 = 300,338/x
  3. Step 3: Cross multiply
    196,421x = 300,338 × 300,338
  4. Step 4: Simplify right side
    196,421x = 90,202,914,244
  5. Step 5: Solve for x
    x = 90,202,914,244/196,421
  6. Step 6: Final answer
    x = 459,232.54

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Why These Related Problems?

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