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Finding the Third Proportional to 80,628 and 174,232

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Solution

The third proportional to 80,628 and 174,232 is: 376,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,628 : 174,232 = 174,232 : x
  2. Step 2: Convert to fraction form
    80,628/174,232 = 174,232/x
  3. Step 3: Cross multiply
    80,628x = 174,232 × 174,232
  4. Step 4: Simplify right side
    80,628x = 30,356,789,824
  5. Step 5: Solve for x
    x = 30,356,789,824/80,628
  6. Step 6: Final answer
    x = 376,504.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.