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Finding the Third Proportional to 192,012 and 296,039

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Solution

The third proportional to 192,012 and 296,039 is: 456,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,012 : 296,039 = 296,039 : x
  2. Step 2: Convert to fraction form
    192,012/296,039 = 296,039/x
  3. Step 3: Cross multiply
    192,012x = 296,039 × 296,039
  4. Step 4: Simplify right side
    192,012x = 87,639,089,521
  5. Step 5: Solve for x
    x = 87,639,089,521/192,012
  6. Step 6: Final answer
    x = 456,425.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.