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Finding the Third Proportional to 177,012 and 382,194

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Solution

The third proportional to 177,012 and 382,194 is: 825,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,012 : 382,194 = 382,194 : x
  2. Step 2: Convert to fraction form
    177,012/382,194 = 382,194/x
  3. Step 3: Cross multiply
    177,012x = 382,194 × 382,194
  4. Step 4: Simplify right side
    177,012x = 146,072,253,636
  5. Step 5: Solve for x
    x = 146,072,253,636/177,012
  6. Step 6: Final answer
    x = 825,211.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.