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Finding the Third Proportional to 173,286 and 379,184

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Solution

The third proportional to 173,286 and 379,184 is: 829,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,286 : 379,184 = 379,184 : x
  2. Step 2: Convert to fraction form
    173,286/379,184 = 379,184/x
  3. Step 3: Cross multiply
    173,286x = 379,184 × 379,184
  4. Step 4: Simplify right side
    173,286x = 143,780,505,856
  5. Step 5: Solve for x
    x = 143,780,505,856/173,286
  6. Step 6: Final answer
    x = 829,729.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.