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Finding the Third Proportional to 167,788 and 368,732

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Solution

The third proportional to 167,788 and 368,732 is: 810,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,788 : 368,732 = 368,732 : x
  2. Step 2: Convert to fraction form
    167,788/368,732 = 368,732/x
  3. Step 3: Cross multiply
    167,788x = 368,732 × 368,732
  4. Step 4: Simplify right side
    167,788x = 135,963,287,824
  5. Step 5: Solve for x
    x = 135,963,287,824/167,788
  6. Step 6: Final answer
    x = 810,327.84

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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.