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Finding the Third Proportional to 110,733.19 and 241,764.75

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Solution

The third proportional to 110,733.19 and 241,764.75 is: 527,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,733.19 : 241,764.75 = 241,764.75 : x
  2. Step 2: Convert to fraction form
    110,733.19/241,764.75 = 241,764.75/x
  3. Step 3: Cross multiply
    110,733.19x = 241,764.75 × 241,764.75
  4. Step 4: Simplify right side
    110,733.19x = 58,450,194,342.56
  5. Step 5: Solve for x
    x = 58,450,194,342.56/110,733.19
  6. Step 6: Final answer
    x = 527,847.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.