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Finding the Third Proportional to 241,394 and 365,198

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Solution

The third proportional to 241,394 and 365,198 is: 552,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,394 : 365,198 = 365,198 : x
  2. Step 2: Convert to fraction form
    241,394/365,198 = 365,198/x
  3. Step 3: Cross multiply
    241,394x = 365,198 × 365,198
  4. Step 4: Simplify right side
    241,394x = 133,369,579,204
  5. Step 5: Solve for x
    x = 133,369,579,204/241,394
  6. Step 6: Final answer
    x = 552,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.