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Finding the Third Proportional to 173,196 and 270,728

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Solution

The third proportional to 173,196 and 270,728 is: 423,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,196 : 270,728 = 270,728 : x
  2. Step 2: Convert to fraction form
    173,196/270,728 = 270,728/x
  3. Step 3: Cross multiply
    173,196x = 270,728 × 270,728
  4. Step 4: Simplify right side
    173,196x = 73,293,649,984
  5. Step 5: Solve for x
    x = 73,293,649,984/173,196
  6. Step 6: Final answer
    x = 423,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.