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Finding the Third Proportional to 137,004 and 300,198

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Solution

The third proportional to 137,004 and 300,198 is: 657,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,004 : 300,198 = 300,198 : x
  2. Step 2: Convert to fraction form
    137,004/300,198 = 300,198/x
  3. Step 3: Cross multiply
    137,004x = 300,198 × 300,198
  4. Step 4: Simplify right side
    137,004x = 90,118,839,204
  5. Step 5: Solve for x
    x = 90,118,839,204/137,004
  6. Step 6: Final answer
    x = 657,782.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.