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Finding the Third Proportional to 136,647 and 300,197

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Solution

The third proportional to 136,647 and 300,197 is: 659,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,647 : 300,197 = 300,197 : x
  2. Step 2: Convert to fraction form
    136,647/300,197 = 300,197/x
  3. Step 3: Cross multiply
    136,647x = 300,197 × 300,197
  4. Step 4: Simplify right side
    136,647x = 90,118,238,809
  5. Step 5: Solve for x
    x = 90,118,238,809/136,647
  6. Step 6: Final answer
    x = 659,496.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.