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Finding the Third Proportional to 123,905 and 263,794

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Solution

The third proportional to 123,905 and 263,794 is: 561,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905 : 263,794 = 263,794 : x
  2. Step 2: Convert to fraction form
    123,905/263,794 = 263,794/x
  3. Step 3: Cross multiply
    123,905x = 263,794 × 263,794
  4. Step 4: Simplify right side
    123,905x = 69,587,274,436
  5. Step 5: Solve for x
    x = 69,587,274,436/123,905
  6. Step 6: Final answer
    x = 561,617.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.