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Finding the Third Proportional to 160.10 and 226.48

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Solution

The third proportional to 160.10 and 226.48 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 226.48 = 226.48 : x
  2. Step 2: Convert to fraction form
    160.10/226.48 = 226.48/x
  3. Step 3: Cross multiply
    160.10x = 226.48 × 226.48
  4. Step 4: Simplify right side
    160.10x = 51,291.63
  5. Step 5: Solve for x
    x = 51,291.63/160.10
  6. Step 6: Final answer
    x = 320.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.