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Finding the Third Proportional to 160.78 and 336.19

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Solution

The third proportional to 160.78 and 336.19 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 336.19 = 336.19 : x
  2. Step 2: Convert to fraction form
    160.78/336.19 = 336.19/x
  3. Step 3: Cross multiply
    160.78x = 336.19 × 336.19
  4. Step 4: Simplify right side
    160.78x = 113,022.04
  5. Step 5: Solve for x
    x = 113,022.04/160.78
  6. Step 6: Final answer
    x = 702.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.