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Finding the Third Proportional to 193,601 and 311,894

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Solution

The third proportional to 193,601 and 311,894 is: 502,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,601 : 311,894 = 311,894 : x
  2. Step 2: Convert to fraction form
    193,601/311,894 = 311,894/x
  3. Step 3: Cross multiply
    193,601x = 311,894 × 311,894
  4. Step 4: Simplify right side
    193,601x = 97,277,867,236
  5. Step 5: Solve for x
    x = 97,277,867,236/193,601
  6. Step 6: Final answer
    x = 502,465.73

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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.