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Finding the Third Proportional to 160.56 and 258.69

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Solution

The third proportional to 160.56 and 258.69 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 258.69 = 258.69 : x
  2. Step 2: Convert to fraction form
    160.56/258.69 = 258.69/x
  3. Step 3: Cross multiply
    160.56x = 258.69 × 258.69
  4. Step 4: Simplify right side
    160.56x = 66,919.22
  5. Step 5: Solve for x
    x = 66,919.22/160.56
  6. Step 6: Final answer
    x = 416.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.