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Finding the Third Proportional to 160.52 and 241.52

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Solution

The third proportional to 160.52 and 241.52 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 241.52 = 241.52 : x
  2. Step 2: Convert to fraction form
    160.52/241.52 = 241.52/x
  3. Step 3: Cross multiply
    160.52x = 241.52 × 241.52
  4. Step 4: Simplify right side
    160.52x = 58,333.57
  5. Step 5: Solve for x
    x = 58,333.57/160.52
  6. Step 6: Final answer
    x = 363.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.