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Finding the Third Proportional to 177,936 and 420,012

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Solution

The third proportional to 177,936 and 420,012 is: 991,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,936 : 420,012 = 420,012 : x
  2. Step 2: Convert to fraction form
    177,936/420,012 = 420,012/x
  3. Step 3: Cross multiply
    177,936x = 420,012 × 420,012
  4. Step 4: Simplify right side
    177,936x = 176,410,080,144
  5. Step 5: Solve for x
    x = 176,410,080,144/177,936
  6. Step 6: Final answer
    x = 991,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.