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Finding the Third Proportional to 246,744 and 371,940

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Solution

The third proportional to 246,744 and 371,940 is: 560,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,744 : 371,940 = 371,940 : x
  2. Step 2: Convert to fraction form
    246,744/371,940 = 371,940/x
  3. Step 3: Cross multiply
    246,744x = 371,940 × 371,940
  4. Step 4: Simplify right side
    246,744x = 138,339,363,600
  5. Step 5: Solve for x
    x = 138,339,363,600/246,744
  6. Step 6: Final answer
    x = 560,659.48

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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.