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Finding the Third Proportional to 104,690 and 230,116

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Solution

The third proportional to 104,690 and 230,116 is: 505,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,690 : 230,116 = 230,116 : x
  2. Step 2: Convert to fraction form
    104,690/230,116 = 230,116/x
  3. Step 3: Cross multiply
    104,690x = 230,116 × 230,116
  4. Step 4: Simplify right side
    104,690x = 52,953,373,456
  5. Step 5: Solve for x
    x = 52,953,373,456/104,690
  6. Step 6: Final answer
    x = 505,811.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.