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Finding the Third Proportional to 193,104 and 279,666

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Solution

The third proportional to 193,104 and 279,666 is: 405,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,104 : 279,666 = 279,666 : x
  2. Step 2: Convert to fraction form
    193,104/279,666 = 279,666/x
  3. Step 3: Cross multiply
    193,104x = 279,666 × 279,666
  4. Step 4: Simplify right side
    193,104x = 78,213,071,556
  5. Step 5: Solve for x
    x = 78,213,071,556/193,104
  6. Step 6: Final answer
    x = 405,030.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.