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Finding the Third Proportional to 160.08 and 343.92

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Solution

The third proportional to 160.08 and 343.92 is: 738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.08 : 343.92 = 343.92 : x
  2. Step 2: Convert to fraction form
    160.08/343.92 = 343.92/x
  3. Step 3: Cross multiply
    160.08x = 343.92 × 343.92
  4. Step 4: Simplify right side
    160.08x = 118,282.26
  5. Step 5: Solve for x
    x = 118,282.26/160.08
  6. Step 6: Final answer
    x = 738.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.