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Finding the Third Proportional to 185,948 and 381,698

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Solution

The third proportional to 185,948 and 381,698 is: 783,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,948 : 381,698 = 381,698 : x
  2. Step 2: Convert to fraction form
    185,948/381,698 = 381,698/x
  3. Step 3: Cross multiply
    185,948x = 381,698 × 381,698
  4. Step 4: Simplify right side
    185,948x = 145,693,363,204
  5. Step 5: Solve for x
    x = 145,693,363,204/185,948
  6. Step 6: Final answer
    x = 783,516.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.