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Finding the Third Proportional to 178.97 and 344.44

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Solution

The third proportional to 178.97 and 344.44 is: 662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 344.44 = 344.44 : x
  2. Step 2: Convert to fraction form
    178.97/344.44 = 344.44/x
  3. Step 3: Cross multiply
    178.97x = 344.44 × 344.44
  4. Step 4: Simplify right side
    178.97x = 118,637.19
  5. Step 5: Solve for x
    x = 118,637.19/178.97
  6. Step 6: Final answer
    x = 662.89

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.