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Finding the Third Proportional to 194,284 and 308,930

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Solution

The third proportional to 194,284 and 308,930 is: 491,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,284 : 308,930 = 308,930 : x
  2. Step 2: Convert to fraction form
    194,284/308,930 = 308,930/x
  3. Step 3: Cross multiply
    194,284x = 308,930 × 308,930
  4. Step 4: Simplify right side
    194,284x = 95,437,744,900
  5. Step 5: Solve for x
    x = 95,437,744,900/194,284
  6. Step 6: Final answer
    x = 491,228.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.