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Finding the Third Proportional to 176,328 and 379,173

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Solution

The third proportional to 176,328 and 379,173 is: 815,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,328 : 379,173 = 379,173 : x
  2. Step 2: Convert to fraction form
    176,328/379,173 = 379,173/x
  3. Step 3: Cross multiply
    176,328x = 379,173 × 379,173
  4. Step 4: Simplify right side
    176,328x = 143,772,163,929
  5. Step 5: Solve for x
    x = 143,772,163,929/176,328
  6. Step 6: Final answer
    x = 815,367.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.