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Finding the Third Proportional to 158,084 and 241,067

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Solution

The third proportional to 158,084 and 241,067 is: 367,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,084 : 241,067 = 241,067 : x
  2. Step 2: Convert to fraction form
    158,084/241,067 = 241,067/x
  3. Step 3: Cross multiply
    158,084x = 241,067 × 241,067
  4. Step 4: Simplify right side
    158,084x = 58,113,298,489
  5. Step 5: Solve for x
    x = 58,113,298,489/158,084
  6. Step 6: Final answer
    x = 367,610.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.