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Finding the Third Proportional to 171,398 and 263,625

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Solution

The third proportional to 171,398 and 263,625 is: 405,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,398 : 263,625 = 263,625 : x
  2. Step 2: Convert to fraction form
    171,398/263,625 = 263,625/x
  3. Step 3: Cross multiply
    171,398x = 263,625 × 263,625
  4. Step 4: Simplify right side
    171,398x = 69,498,140,625
  5. Step 5: Solve for x
    x = 69,498,140,625/171,398
  6. Step 6: Final answer
    x = 405,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.