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Finding the Third Proportional to 174,653 and 356,634

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Solution

The third proportional to 174,653 and 356,634 is: 728,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,653 : 356,634 = 356,634 : x
  2. Step 2: Convert to fraction form
    174,653/356,634 = 356,634/x
  3. Step 3: Cross multiply
    174,653x = 356,634 × 356,634
  4. Step 4: Simplify right side
    174,653x = 127,187,809,956
  5. Step 5: Solve for x
    x = 127,187,809,956/174,653
  6. Step 6: Final answer
    x = 728,231.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.