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Finding the Third Proportional to 173,296 and 372,376

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Solution

The third proportional to 173,296 and 372,376 is: 800,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,296 : 372,376 = 372,376 : x
  2. Step 2: Convert to fraction form
    173,296/372,376 = 372,376/x
  3. Step 3: Cross multiply
    173,296x = 372,376 × 372,376
  4. Step 4: Simplify right side
    173,296x = 138,663,885,376
  5. Step 5: Solve for x
    x = 138,663,885,376/173,296
  6. Step 6: Final answer
    x = 800,156.30

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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.