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Finding the Third Proportional to 173,270 and 376,186

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Solution

The third proportional to 173,270 and 376,186 is: 816,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,270 : 376,186 = 376,186 : x
  2. Step 2: Convert to fraction form
    173,270/376,186 = 376,186/x
  3. Step 3: Cross multiply
    173,270x = 376,186 × 376,186
  4. Step 4: Simplify right side
    173,270x = 141,515,906,596
  5. Step 5: Solve for x
    x = 141,515,906,596/173,270
  6. Step 6: Final answer
    x = 816,736.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.