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Finding the Third Proportional to 110,784.94 and 241,620.75

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Solution

The third proportional to 110,784.94 and 241,620.75 is: 526,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,784.94 : 241,620.75 = 241,620.75 : x
  2. Step 2: Convert to fraction form
    110,784.94/241,620.75 = 241,620.75/x
  3. Step 3: Cross multiply
    110,784.94x = 241,620.75 × 241,620.75
  4. Step 4: Simplify right side
    110,784.94x = 58,380,586,830.56
  5. Step 5: Solve for x
    x = 58,380,586,830.56/110,784.94
  6. Step 6: Final answer
    x = 526,972.24

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Why These Related Problems?

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