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Finding the Third Proportional to 170,544 and 372,144

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Solution

The third proportional to 170,544 and 372,144 is: 812,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,544 : 372,144 = 372,144 : x
  2. Step 2: Convert to fraction form
    170,544/372,144 = 372,144/x
  3. Step 3: Cross multiply
    170,544x = 372,144 × 372,144
  4. Step 4: Simplify right side
    170,544x = 138,491,156,736
  5. Step 5: Solve for x
    x = 138,491,156,736/170,544
  6. Step 6: Final answer
    x = 812,055.29

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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.