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Finding the Third Proportional to 211,930 and 441,104

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Solution

The third proportional to 211,930 and 441,104 is: 918,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,930 : 441,104 = 441,104 : x
  2. Step 2: Convert to fraction form
    211,930/441,104 = 441,104/x
  3. Step 3: Cross multiply
    211,930x = 441,104 × 441,104
  4. Step 4: Simplify right side
    211,930x = 194,572,738,816
  5. Step 5: Solve for x
    x = 194,572,738,816/211,930
  6. Step 6: Final answer
    x = 918,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.