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Finding the Third Proportional to 177,054 and 382,278

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Solution

The third proportional to 177,054 and 382,278 is: 825,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,054 : 382,278 = 382,278 : x
  2. Step 2: Convert to fraction form
    177,054/382,278 = 382,278/x
  3. Step 3: Cross multiply
    177,054x = 382,278 × 382,278
  4. Step 4: Simplify right side
    177,054x = 146,136,469,284
  5. Step 5: Solve for x
    x = 146,136,469,284/177,054
  6. Step 6: Final answer
    x = 825,377.96

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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.