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Finding the Third Proportional to 193,930 and 300,111

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Solution

The third proportional to 193,930 and 300,111 is: 464,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,930 : 300,111 = 300,111 : x
  2. Step 2: Convert to fraction form
    193,930/300,111 = 300,111/x
  3. Step 3: Cross multiply
    193,930x = 300,111 × 300,111
  4. Step 4: Simplify right side
    193,930x = 90,066,612,321
  5. Step 5: Solve for x
    x = 90,066,612,321/193,930
  6. Step 6: Final answer
    x = 464,428.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.