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Finding the Third Proportional to 79,238.25 and 165,054.38

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Solution

The third proportional to 79,238.25 and 165,054.38 is: 343,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,238.25 : 165,054.38 = 165,054.38 : x
  2. Step 2: Convert to fraction form
    79,238.25/165,054.38 = 165,054.38/x
  3. Step 3: Cross multiply
    79,238.25x = 165,054.38 × 165,054.38
  4. Step 4: Simplify right side
    79,238.25x = 27,242,946,706.64
  5. Step 5: Solve for x
    x = 27,242,946,706.64/79,238.25
  6. Step 6: Final answer
    x = 343,810.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.