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Finding the Third Proportional to 167,640 and 367,278

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Solution

The third proportional to 167,640 and 367,278 is: 804,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,640 : 367,278 = 367,278 : x
  2. Step 2: Convert to fraction form
    167,640/367,278 = 367,278/x
  3. Step 3: Cross multiply
    167,640x = 367,278 × 367,278
  4. Step 4: Simplify right side
    167,640x = 134,893,129,284
  5. Step 5: Solve for x
    x = 134,893,129,284/167,640
  6. Step 6: Final answer
    x = 804,659.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.