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Finding the Third Proportional to 171,189 and 257,301

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Solution

The third proportional to 171,189 and 257,301 is: 386,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,189 : 257,301 = 257,301 : x
  2. Step 2: Convert to fraction form
    171,189/257,301 = 257,301/x
  3. Step 3: Cross multiply
    171,189x = 257,301 × 257,301
  4. Step 4: Simplify right side
    171,189x = 66,203,804,601
  5. Step 5: Solve for x
    x = 66,203,804,601/171,189
  6. Step 6: Final answer
    x = 386,729.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.