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Finding the Third Proportional to 160.42 and 298.05

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Solution

The third proportional to 160.42 and 298.05 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 298.05 = 298.05 : x
  2. Step 2: Convert to fraction form
    160.42/298.05 = 298.05/x
  3. Step 3: Cross multiply
    160.42x = 298.05 × 298.05
  4. Step 4: Simplify right side
    160.42x = 88,836.60
  5. Step 5: Solve for x
    x = 88,836.60/160.42
  6. Step 6: Final answer
    x = 553.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.