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Finding the Third Proportional to 193,626 and 311,935

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Solution

The third proportional to 193,626 and 311,935 is: 502,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,626 : 311,935 = 311,935 : x
  2. Step 2: Convert to fraction form
    193,626/311,935 = 311,935/x
  3. Step 3: Cross multiply
    193,626x = 311,935 × 311,935
  4. Step 4: Simplify right side
    193,626x = 97,303,444,225
  5. Step 5: Solve for x
    x = 97,303,444,225/193,626
  6. Step 6: Final answer
    x = 502,532.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.