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Finding the Third Proportional to 269,103.56 and 365,625.56

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Solution

The third proportional to 269,103.56 and 365,625.56 is: 496,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,103.56 : 365,625.56 = 365,625.56 : x
  2. Step 2: Convert to fraction form
    269,103.56/365,625.56 = 365,625.56/x
  3. Step 3: Cross multiply
    269,103.56x = 365,625.56 × 365,625.56
  4. Step 4: Simplify right side
    269,103.56x = 133,682,051,953.44
  5. Step 5: Solve for x
    x = 133,682,051,953.44/269,103.56
  6. Step 6: Final answer
    x = 496,768.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.