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Finding the Third Proportional to 246,104 and 379,542

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Solution

The third proportional to 246,104 and 379,542 is: 585,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,104 : 379,542 = 379,542 : x
  2. Step 2: Convert to fraction form
    246,104/379,542 = 379,542/x
  3. Step 3: Cross multiply
    246,104x = 379,542 × 379,542
  4. Step 4: Simplify right side
    246,104x = 144,052,129,764
  5. Step 5: Solve for x
    x = 144,052,129,764/246,104
  6. Step 6: Final answer
    x = 585,330.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.