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Finding the Third Proportional to 194,759 and 294,245

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Solution

The third proportional to 194,759 and 294,245 is: 444,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,759 : 294,245 = 294,245 : x
  2. Step 2: Convert to fraction form
    194,759/294,245 = 294,245/x
  3. Step 3: Cross multiply
    194,759x = 294,245 × 294,245
  4. Step 4: Simplify right side
    194,759x = 86,580,120,025
  5. Step 5: Solve for x
    x = 86,580,120,025/194,759
  6. Step 6: Final answer
    x = 444,550.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.