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Finding the Third Proportional to 175,794 and 372,540

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Solution

The third proportional to 175,794 and 372,540 is: 789,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,794 : 372,540 = 372,540 : x
  2. Step 2: Convert to fraction form
    175,794/372,540 = 372,540/x
  3. Step 3: Cross multiply
    175,794x = 372,540 × 372,540
  4. Step 4: Simplify right side
    175,794x = 138,786,051,600
  5. Step 5: Solve for x
    x = 138,786,051,600/175,794
  6. Step 6: Final answer
    x = 789,481.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.