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Finding the Third Proportional to 110,993.63 and 240,698.25

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Solution

The third proportional to 110,993.63 and 240,698.25 is: 521,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,993.63 : 240,698.25 = 240,698.25 : x
  2. Step 2: Convert to fraction form
    110,993.63/240,698.25 = 240,698.25/x
  3. Step 3: Cross multiply
    110,993.63x = 240,698.25 × 240,698.25
  4. Step 4: Simplify right side
    110,993.63x = 57,935,647,553.06
  5. Step 5: Solve for x
    x = 57,935,647,553.06/110,993.63
  6. Step 6: Final answer
    x = 521,972.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.