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Finding the Third Proportional to 160.52 and 327.80

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Solution

The third proportional to 160.52 and 327.80 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 327.80 = 327.80 : x
  2. Step 2: Convert to fraction form
    160.52/327.80 = 327.80/x
  3. Step 3: Cross multiply
    160.52x = 327.80 × 327.80
  4. Step 4: Simplify right side
    160.52x = 107,450.79
  5. Step 5: Solve for x
    x = 107,450.79/160.52
  6. Step 6: Final answer
    x = 669.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.