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Finding the Third Proportional to 173,194 and 270,725

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Solution

The third proportional to 173,194 and 270,725 is: 423,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,194 : 270,725 = 270,725 : x
  2. Step 2: Convert to fraction form
    173,194/270,725 = 270,725/x
  3. Step 3: Cross multiply
    173,194x = 270,725 × 270,725
  4. Step 4: Simplify right side
    173,194x = 73,292,025,625
  5. Step 5: Solve for x
    x = 73,292,025,625/173,194
  6. Step 6: Final answer
    x = 423,178.78

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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.