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Finding the Third Proportional to 189,704 and 439,187

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Solution

The third proportional to 189,704 and 439,187 is: 1,016,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704 : 439,187 = 439,187 : x
  2. Step 2: Convert to fraction form
    189,704/439,187 = 439,187/x
  3. Step 3: Cross multiply
    189,704x = 439,187 × 439,187
  4. Step 4: Simplify right side
    189,704x = 192,885,220,969
  5. Step 5: Solve for x
    x = 192,885,220,969/189,704
  6. Step 6: Final answer
    x = 1,016,769.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.