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Finding the Third Proportional to 174,652 and 356,632

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Solution

The third proportional to 174,652 and 356,632 is: 728,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,652 : 356,632 = 356,632 : x
  2. Step 2: Convert to fraction form
    174,652/356,632 = 356,632/x
  3. Step 3: Cross multiply
    174,652x = 356,632 × 356,632
  4. Step 4: Simplify right side
    174,652x = 127,186,383,424
  5. Step 5: Solve for x
    x = 127,186,383,424/174,652
  6. Step 6: Final answer
    x = 728,227.47

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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.