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Finding the Third Proportional to 105,004 and 246,823

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Solution

The third proportional to 105,004 and 246,823 is: 580,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004 : 246,823 = 246,823 : x
  2. Step 2: Convert to fraction form
    105,004/246,823 = 246,823/x
  3. Step 3: Cross multiply
    105,004x = 246,823 × 246,823
  4. Step 4: Simplify right side
    105,004x = 60,921,593,329
  5. Step 5: Solve for x
    x = 60,921,593,329/105,004
  6. Step 6: Final answer
    x = 580,183.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.