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Finding the Third Proportional to 167,053 and 259,067

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Solution

The third proportional to 167,053 and 259,067 is: 401,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,053 : 259,067 = 259,067 : x
  2. Step 2: Convert to fraction form
    167,053/259,067 = 259,067/x
  3. Step 3: Cross multiply
    167,053x = 259,067 × 259,067
  4. Step 4: Simplify right side
    167,053x = 67,115,710,489
  5. Step 5: Solve for x
    x = 67,115,710,489/167,053
  6. Step 6: Final answer
    x = 401,762.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.