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Finding the Third Proportional to 105,516 and 230,616

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Solution

The third proportional to 105,516 and 230,616 is: 504,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516 : 230,616 = 230,616 : x
  2. Step 2: Convert to fraction form
    105,516/230,616 = 230,616/x
  3. Step 3: Cross multiply
    105,516x = 230,616 × 230,616
  4. Step 4: Simplify right side
    105,516x = 53,183,739,456
  5. Step 5: Solve for x
    x = 53,183,739,456/105,516
  6. Step 6: Final answer
    x = 504,034.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.