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Finding the Third Proportional to 110,859.75 and 234,954

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Solution

The third proportional to 110,859.75 and 234,954 is: 497,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859.75 : 234,954 = 234,954 : x
  2. Step 2: Convert to fraction form
    110,859.75/234,954 = 234,954/x
  3. Step 3: Cross multiply
    110,859.75x = 234,954 × 234,954
  4. Step 4: Simplify right side
    110,859.75x = 55,203,382,116
  5. Step 5: Solve for x
    x = 55,203,382,116/110,859.75
  6. Step 6: Final answer
    x = 497,956.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.