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Finding the Third Proportional to 171,207 and 263,493

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Solution

The third proportional to 171,207 and 263,493 is: 405,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,207 : 263,493 = 263,493 : x
  2. Step 2: Convert to fraction form
    171,207/263,493 = 263,493/x
  3. Step 3: Cross multiply
    171,207x = 263,493 × 263,493
  4. Step 4: Simplify right side
    171,207x = 69,428,561,049
  5. Step 5: Solve for x
    x = 69,428,561,049/171,207
  6. Step 6: Final answer
    x = 405,524.08

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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.