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Finding the Third Proportional to 119,606 and 244,740

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Solution

The third proportional to 119,606 and 244,740 is: 500,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,606 : 244,740 = 244,740 : x
  2. Step 2: Convert to fraction form
    119,606/244,740 = 244,740/x
  3. Step 3: Cross multiply
    119,606x = 244,740 × 244,740
  4. Step 4: Simplify right side
    119,606x = 59,897,667,600
  5. Step 5: Solve for x
    x = 59,897,667,600/119,606
  6. Step 6: Final answer
    x = 500,791.50

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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.