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Finding the Third Proportional to 104,993 and 230,399

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Solution

The third proportional to 104,993 and 230,399 is: 505,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,993 : 230,399 = 230,399 : x
  2. Step 2: Convert to fraction form
    104,993/230,399 = 230,399/x
  3. Step 3: Cross multiply
    104,993x = 230,399 × 230,399
  4. Step 4: Simplify right side
    104,993x = 53,083,699,201
  5. Step 5: Solve for x
    x = 53,083,699,201/104,993
  6. Step 6: Final answer
    x = 505,592.75

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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.