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Finding the Third Proportional to 176.67 and 344.77

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Solution

The third proportional to 176.67 and 344.77 is: 672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 344.77 = 344.77 : x
  2. Step 2: Convert to fraction form
    176.67/344.77 = 344.77/x
  3. Step 3: Cross multiply
    176.67x = 344.77 × 344.77
  4. Step 4: Simplify right side
    176.67x = 118,863.34
  5. Step 5: Solve for x
    x = 118,863.34/176.67
  6. Step 6: Final answer
    x = 672.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.