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Finding the Third Proportional to 104,999 and 230,412

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Solution

The third proportional to 104,999 and 230,412 is: 505,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,999 : 230,412 = 230,412 : x
  2. Step 2: Convert to fraction form
    104,999/230,412 = 230,412/x
  3. Step 3: Cross multiply
    104,999x = 230,412 × 230,412
  4. Step 4: Simplify right side
    104,999x = 53,089,689,744
  5. Step 5: Solve for x
    x = 53,089,689,744/104,999
  6. Step 6: Final answer
    x = 505,620.91

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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.