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Finding the Third Proportional to 160.42 and 369.46

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Solution

The third proportional to 160.42 and 369.46 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 369.46 = 369.46 : x
  2. Step 2: Convert to fraction form
    160.42/369.46 = 369.46/x
  3. Step 3: Cross multiply
    160.42x = 369.46 × 369.46
  4. Step 4: Simplify right side
    160.42x = 136,498.50
  5. Step 5: Solve for x
    x = 136,498.50/160.42
  6. Step 6: Final answer
    x = 850.89

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.