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Finding the Third Proportional to 138,291.75 and 213,579.75

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Solution

The third proportional to 138,291.75 and 213,579.75 is: 329,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,291.75 : 213,579.75 = 213,579.75 : x
  2. Step 2: Convert to fraction form
    138,291.75/213,579.75 = 213,579.75/x
  3. Step 3: Cross multiply
    138,291.75x = 213,579.75 × 213,579.75
  4. Step 4: Simplify right side
    138,291.75x = 45,616,309,610.06
  5. Step 5: Solve for x
    x = 45,616,309,610.06/138,291.75
  6. Step 6: Final answer
    x = 329,855.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.