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Finding the Third Proportional to 171,446 and 368,404

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Solution

The third proportional to 171,446 and 368,404 is: 791,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,446 : 368,404 = 368,404 : x
  2. Step 2: Convert to fraction form
    171,446/368,404 = 368,404/x
  3. Step 3: Cross multiply
    171,446x = 368,404 × 368,404
  4. Step 4: Simplify right side
    171,446x = 135,721,507,216
  5. Step 5: Solve for x
    x = 135,721,507,216/171,446
  6. Step 6: Final answer
    x = 791,628.31

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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.