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Finding the Third Proportional to 246,786 and 372,000

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Solution

The third proportional to 246,786 and 372,000 is: 560,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,786 : 372,000 = 372,000 : x
  2. Step 2: Convert to fraction form
    246,786/372,000 = 372,000/x
  3. Step 3: Cross multiply
    246,786x = 372,000 × 372,000
  4. Step 4: Simplify right side
    246,786x = 138,384,000,000
  5. Step 5: Solve for x
    x = 138,384,000,000/246,786
  6. Step 6: Final answer
    x = 560,744.94

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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.