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Finding the Third Proportional to 189,698 and 284,052

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Solution

The third proportional to 189,698 and 284,052 is: 425,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,698 : 284,052 = 284,052 : x
  2. Step 2: Convert to fraction form
    189,698/284,052 = 284,052/x
  3. Step 3: Cross multiply
    189,698x = 284,052 × 284,052
  4. Step 4: Simplify right side
    189,698x = 80,685,538,704
  5. Step 5: Solve for x
    x = 80,685,538,704/189,698
  6. Step 6: Final answer
    x = 425,336.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.