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Finding the Third Proportional to 177,370 and 382,874

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Solution

The third proportional to 177,370 and 382,874 is: 826,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,370 : 382,874 = 382,874 : x
  2. Step 2: Convert to fraction form
    177,370/382,874 = 382,874/x
  3. Step 3: Cross multiply
    177,370x = 382,874 × 382,874
  4. Step 4: Simplify right side
    177,370x = 146,592,499,876
  5. Step 5: Solve for x
    x = 146,592,499,876/177,370
  6. Step 6: Final answer
    x = 826,478.55

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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.