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Finding the Third Proportional to 177,615 and 263,716.50

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Solution

The third proportional to 177,615 and 263,716.50 is: 391,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,615 : 263,716.50 = 263,716.50 : x
  2. Step 2: Convert to fraction form
    177,615/263,716.50 = 263,716.50/x
  3. Step 3: Cross multiply
    177,615x = 263,716.50 × 263,716.50
  4. Step 4: Simplify right side
    177,615x = 69,546,392,372.25
  5. Step 5: Solve for x
    x = 69,546,392,372.25/177,615
  6. Step 6: Final answer
    x = 391,556.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.