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Finding the Third Proportional to 160.21 and 245.60

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Solution

The third proportional to 160.21 and 245.60 is: 376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 245.60 = 245.60 : x
  2. Step 2: Convert to fraction form
    160.21/245.60 = 245.60/x
  3. Step 3: Cross multiply
    160.21x = 245.60 × 245.60
  4. Step 4: Simplify right side
    160.21x = 60,320.13
  5. Step 5: Solve for x
    x = 60,320.13/160.21
  6. Step 6: Final answer
    x = 376.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.