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Finding the Third Proportional to 167,780 and 327,052

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Solution

The third proportional to 167,780 and 327,052 is: 637,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,780 : 327,052 = 327,052 : x
  2. Step 2: Convert to fraction form
    167,780/327,052 = 327,052/x
  3. Step 3: Cross multiply
    167,780x = 327,052 × 327,052
  4. Step 4: Simplify right side
    167,780x = 106,963,010,704
  5. Step 5: Solve for x
    x = 106,963,010,704/167,780
  6. Step 6: Final answer
    x = 637,519.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.