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Finding the Third Proportional to 194,939 and 244,019

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Solution

The third proportional to 194,939 and 244,019 is: 305,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,939 : 244,019 = 244,019 : x
  2. Step 2: Convert to fraction form
    194,939/244,019 = 244,019/x
  3. Step 3: Cross multiply
    194,939x = 244,019 × 244,019
  4. Step 4: Simplify right side
    194,939x = 59,545,272,361
  5. Step 5: Solve for x
    x = 59,545,272,361/194,939
  6. Step 6: Final answer
    x = 305,455.92

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.