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Finding the Third Proportional to 117,504 and 229,104

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Solution

The third proportional to 117,504 and 229,104 is: 446,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 229,104 = 229,104 : x
  2. Step 2: Convert to fraction form
    117,504/229,104 = 229,104/x
  3. Step 3: Cross multiply
    117,504x = 229,104 × 229,104
  4. Step 4: Simplify right side
    117,504x = 52,488,642,816
  5. Step 5: Solve for x
    x = 52,488,642,816/117,504
  6. Step 6: Final answer
    x = 446,696.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.