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Finding the Third Proportional to 68.03 and 160.52

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Solution

The third proportional to 68.03 and 160.52 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.03 : 160.52 = 160.52 : x
  2. Step 2: Convert to fraction form
    68.03/160.52 = 160.52/x
  3. Step 3: Cross multiply
    68.03x = 160.52 × 160.52
  4. Step 4: Simplify right side
    68.03x = 25,767.77
  5. Step 5: Solve for x
    x = 25,767.77/68.03
  6. Step 6: Final answer
    x = 378.79

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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.