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Finding the Third Proportional to 203,826.94 and 299,745.56

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Solution

The third proportional to 203,826.94 and 299,745.56 is: 440,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,826.94 : 299,745.56 = 299,745.56 : x
  2. Step 2: Convert to fraction form
    203,826.94/299,745.56 = 299,745.56/x
  3. Step 3: Cross multiply
    203,826.94x = 299,745.56 × 299,745.56
  4. Step 4: Simplify right side
    203,826.94x = 89,847,402,238.44
  5. Step 5: Solve for x
    x = 89,847,402,238.44/203,826.94
  6. Step 6: Final answer
    x = 440,802.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.