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Finding the Third Proportional to 167,751 and 365,028

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Solution

The third proportional to 167,751 and 365,028 is: 794,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,751 : 365,028 = 365,028 : x
  2. Step 2: Convert to fraction form
    167,751/365,028 = 365,028/x
  3. Step 3: Cross multiply
    167,751x = 365,028 × 365,028
  4. Step 4: Simplify right side
    167,751x = 133,245,440,784
  5. Step 5: Solve for x
    x = 133,245,440,784/167,751
  6. Step 6: Final answer
    x = 794,304.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.