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Finding the Third Proportional to 177,684 and 362,503

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Solution

The third proportional to 177,684 and 362,503 is: 739,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,684 : 362,503 = 362,503 : x
  2. Step 2: Convert to fraction form
    177,684/362,503 = 362,503/x
  3. Step 3: Cross multiply
    177,684x = 362,503 × 362,503
  4. Step 4: Simplify right side
    177,684x = 131,408,425,009
  5. Step 5: Solve for x
    x = 131,408,425,009/177,684
  6. Step 6: Final answer
    x = 739,562.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.