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Finding the Third Proportional to 160.59 and 327.19

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Solution

The third proportional to 160.59 and 327.19 is: 666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 327.19 = 327.19 : x
  2. Step 2: Convert to fraction form
    160.59/327.19 = 327.19/x
  3. Step 3: Cross multiply
    160.59x = 327.19 × 327.19
  4. Step 4: Simplify right side
    160.59x = 107,051.66
  5. Step 5: Solve for x
    x = 107,051.66/160.59
  6. Step 6: Final answer
    x = 666.60

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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.