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Finding the Third Proportional to 160.42 and 378.26

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Solution

The third proportional to 160.42 and 378.26 is: 891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 378.26 = 378.26 : x
  2. Step 2: Convert to fraction form
    160.42/378.26 = 378.26/x
  3. Step 3: Cross multiply
    160.42x = 378.26 × 378.26
  4. Step 4: Simplify right side
    160.42x = 143,083.41
  5. Step 5: Solve for x
    x = 143,083.41/160.42
  6. Step 6: Final answer
    x = 891.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.