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Finding the Third Proportional to 767.34 and 1,180.97

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Solution

The third proportional to 767.34 and 1,180.97 is: 1,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,180.97 = 1,180.97 : x
  2. Step 2: Convert to fraction form
    767.34/1,180.97 = 1,180.97/x
  3. Step 3: Cross multiply
    767.34x = 1,180.97 × 1,180.97
  4. Step 4: Simplify right side
    767.34x = 1,394,687.19
  5. Step 5: Solve for x
    x = 1,394,687.19/767.34
  6. Step 6: Final answer
    x = 1,817.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.