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Finding the Third Proportional to 174,786 and 372,450

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Solution

The third proportional to 174,786 and 372,450 is: 793,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,786 : 372,450 = 372,450 : x
  2. Step 2: Convert to fraction form
    174,786/372,450 = 372,450/x
  3. Step 3: Cross multiply
    174,786x = 372,450 × 372,450
  4. Step 4: Simplify right side
    174,786x = 138,719,002,500
  5. Step 5: Solve for x
    x = 138,719,002,500/174,786
  6. Step 6: Final answer
    x = 793,650.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.