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Finding the Third Proportional to 192,940 and 417,104

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Solution

The third proportional to 192,940 and 417,104 is: 901,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,940 : 417,104 = 417,104 : x
  2. Step 2: Convert to fraction form
    192,940/417,104 = 417,104/x
  3. Step 3: Cross multiply
    192,940x = 417,104 × 417,104
  4. Step 4: Simplify right side
    192,940x = 173,975,746,816
  5. Step 5: Solve for x
    x = 173,975,746,816/192,940
  6. Step 6: Final answer
    x = 901,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.