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Finding the Third Proportional to 174,671 and 263,666

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Solution

The third proportional to 174,671 and 263,666 is: 398,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,671 : 263,666 = 263,666 : x
  2. Step 2: Convert to fraction form
    174,671/263,666 = 263,666/x
  3. Step 3: Cross multiply
    174,671x = 263,666 × 263,666
  4. Step 4: Simplify right side
    174,671x = 69,519,759,556
  5. Step 5: Solve for x
    x = 69,519,759,556/174,671
  6. Step 6: Final answer
    x = 398,004.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.