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Finding the Third Proportional to 167,616 and 368,928

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Solution

The third proportional to 167,616 and 368,928 is: 812,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,616 : 368,928 = 368,928 : x
  2. Step 2: Convert to fraction form
    167,616/368,928 = 368,928/x
  3. Step 3: Cross multiply
    167,616x = 368,928 × 368,928
  4. Step 4: Simplify right side
    167,616x = 136,107,869,184
  5. Step 5: Solve for x
    x = 136,107,869,184/167,616
  6. Step 6: Final answer
    x = 812,021.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.