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Finding the Third Proportional to 115,067 and 251,653

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Solution

The third proportional to 115,067 and 251,653 is: 550,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,067 : 251,653 = 251,653 : x
  2. Step 2: Convert to fraction form
    115,067/251,653 = 251,653/x
  3. Step 3: Cross multiply
    115,067x = 251,653 × 251,653
  4. Step 4: Simplify right side
    115,067x = 63,329,232,409
  5. Step 5: Solve for x
    x = 63,329,232,409/115,067
  6. Step 6: Final answer
    x = 550,368.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.