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Finding the Third Proportional to 170,644 and 372,393

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Solution

The third proportional to 170,644 and 372,393 is: 812,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,644 : 372,393 = 372,393 : x
  2. Step 2: Convert to fraction form
    170,644/372,393 = 372,393/x
  3. Step 3: Cross multiply
    170,644x = 372,393 × 372,393
  4. Step 4: Simplify right side
    170,644x = 138,676,546,449
  5. Step 5: Solve for x
    x = 138,676,546,449/170,644
  6. Step 6: Final answer
    x = 812,665.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.