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Finding the Third Proportional to 119,760.50 and 199,590

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Solution

The third proportional to 119,760.50 and 199,590 is: 332,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,760.50 : 199,590 = 199,590 : x
  2. Step 2: Convert to fraction form
    119,760.50/199,590 = 199,590/x
  3. Step 3: Cross multiply
    119,760.50x = 199,590 × 199,590
  4. Step 4: Simplify right side
    119,760.50x = 39,836,168,100
  5. Step 5: Solve for x
    x = 39,836,168,100/119,760.50
  6. Step 6: Final answer
    x = 332,631.95

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.