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Finding the Third Proportional to 194,940 and 244,021

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Solution

The third proportional to 194,940 and 244,021 is: 305,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 244,021 = 244,021 : x
  2. Step 2: Convert to fraction form
    194,940/244,021 = 244,021/x
  3. Step 3: Cross multiply
    194,940x = 244,021 × 244,021
  4. Step 4: Simplify right side
    194,940x = 59,546,248,441
  5. Step 5: Solve for x
    x = 59,546,248,441/194,940
  6. Step 6: Final answer
    x = 305,459.36

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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.