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Finding the Third Proportional to 119,195 and 248,190.50

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Solution

The third proportional to 119,195 and 248,190.50 is: 516,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,195 : 248,190.50 = 248,190.50 : x
  2. Step 2: Convert to fraction form
    119,195/248,190.50 = 248,190.50/x
  3. Step 3: Cross multiply
    119,195x = 248,190.50 × 248,190.50
  4. Step 4: Simplify right side
    119,195x = 61,598,524,290.25
  5. Step 5: Solve for x
    x = 61,598,524,290.25/119,195
  6. Step 6: Final answer
    x = 516,787.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.