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Finding the Third Proportional to 233,198 and 515,401

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Solution

The third proportional to 233,198 and 515,401 is: 1,139,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,198 : 515,401 = 515,401 : x
  2. Step 2: Convert to fraction form
    233,198/515,401 = 515,401/x
  3. Step 3: Cross multiply
    233,198x = 515,401 × 515,401
  4. Step 4: Simplify right side
    233,198x = 265,638,190,801
  5. Step 5: Solve for x
    x = 265,638,190,801/233,198
  6. Step 6: Final answer
    x = 1,139,110.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.