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Finding the Third Proportional to 194,139 and 397,683

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Solution

The third proportional to 194,139 and 397,683 is: 814,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,139 : 397,683 = 397,683 : x
  2. Step 2: Convert to fraction form
    194,139/397,683 = 397,683/x
  3. Step 3: Cross multiply
    194,139x = 397,683 × 397,683
  4. Step 4: Simplify right side
    194,139x = 158,151,768,489
  5. Step 5: Solve for x
    x = 158,151,768,489/194,139
  6. Step 6: Final answer
    x = 814,631.62

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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.