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Finding the Third Proportional to 192,112 and 308,673

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Solution

The third proportional to 192,112 and 308,673 is: 495,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,112 : 308,673 = 308,673 : x
  2. Step 2: Convert to fraction form
    192,112/308,673 = 308,673/x
  3. Step 3: Cross multiply
    192,112x = 308,673 × 308,673
  4. Step 4: Simplify right side
    192,112x = 95,279,020,929
  5. Step 5: Solve for x
    x = 95,279,020,929/192,112
  6. Step 6: Final answer
    x = 495,955.59

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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.