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Finding the Third Proportional to 246,800 and 372,021

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Solution

The third proportional to 246,800 and 372,021 is: 560,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,800 : 372,021 = 372,021 : x
  2. Step 2: Convert to fraction form
    246,800/372,021 = 372,021/x
  3. Step 3: Cross multiply
    246,800x = 372,021 × 372,021
  4. Step 4: Simplify right side
    246,800x = 138,399,624,441
  5. Step 5: Solve for x
    x = 138,399,624,441/246,800
  6. Step 6: Final answer
    x = 560,776.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.