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Finding the Third Proportional to 114,268 and 234,104

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Solution

The third proportional to 114,268 and 234,104 is: 479,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,268 : 234,104 = 234,104 : x
  2. Step 2: Convert to fraction form
    114,268/234,104 = 234,104/x
  3. Step 3: Cross multiply
    114,268x = 234,104 × 234,104
  4. Step 4: Simplify right side
    114,268x = 54,804,682,816
  5. Step 5: Solve for x
    x = 54,804,682,816/114,268
  6. Step 6: Final answer
    x = 479,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.