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Finding the Third Proportional to 178,556.59 and 384,446.41

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Solution

The third proportional to 178,556.59 and 384,446.41 is: 827,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,556.59 : 384,446.41 = 384,446.41 : x
  2. Step 2: Convert to fraction form
    178,556.59/384,446.41 = 384,446.41/x
  3. Step 3: Cross multiply
    178,556.59x = 384,446.41 × 384,446.41
  4. Step 4: Simplify right side
    178,556.59x = 147,799,040,780.27
  5. Step 5: Solve for x
    x = 147,799,040,780.27/178,556.59
  6. Step 6: Final answer
    x = 827,743.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.