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Finding the Third Proportional to 172,296 and 365,048

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Solution

The third proportional to 172,296 and 365,048 is: 773,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,296 : 365,048 = 365,048 : x
  2. Step 2: Convert to fraction form
    172,296/365,048 = 365,048/x
  3. Step 3: Cross multiply
    172,296x = 365,048 × 365,048
  4. Step 4: Simplify right side
    172,296x = 133,260,042,304
  5. Step 5: Solve for x
    x = 133,260,042,304/172,296
  6. Step 6: Final answer
    x = 773,436.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.