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Finding the Third Proportional to 263,994 and 350,058

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Solution

The third proportional to 263,994 and 350,058 is: 464,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,994 : 350,058 = 350,058 : x
  2. Step 2: Convert to fraction form
    263,994/350,058 = 350,058/x
  3. Step 3: Cross multiply
    263,994x = 350,058 × 350,058
  4. Step 4: Simplify right side
    263,994x = 122,540,603,364
  5. Step 5: Solve for x
    x = 122,540,603,364/263,994
  6. Step 6: Final answer
    x = 464,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.