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Finding the Third Proportional to 177,336 and 394,038

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Solution

The third proportional to 177,336 and 394,038 is: 875,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 394,038 = 394,038 : x
  2. Step 2: Convert to fraction form
    177,336/394,038 = 394,038/x
  3. Step 3: Cross multiply
    177,336x = 394,038 × 394,038
  4. Step 4: Simplify right side
    177,336x = 155,265,945,444
  5. Step 5: Solve for x
    x = 155,265,945,444/177,336
  6. Step 6: Final answer
    x = 875,546.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.