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Finding the Third Proportional to 170,100 and 372,450

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Solution

The third proportional to 170,100 and 372,450 is: 815,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,100 : 372,450 = 372,450 : x
  2. Step 2: Convert to fraction form
    170,100/372,450 = 372,450/x
  3. Step 3: Cross multiply
    170,100x = 372,450 × 372,450
  4. Step 4: Simplify right side
    170,100x = 138,719,002,500
  5. Step 5: Solve for x
    x = 138,719,002,500/170,100
  6. Step 6: Final answer
    x = 815,514.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.