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Finding the Third Proportional to 160.13 and 339.38

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Solution

The third proportional to 160.13 and 339.38 is: 719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 339.38 = 339.38 : x
  2. Step 2: Convert to fraction form
    160.13/339.38 = 339.38/x
  3. Step 3: Cross multiply
    160.13x = 339.38 × 339.38
  4. Step 4: Simplify right side
    160.13x = 115,175.39
  5. Step 5: Solve for x
    x = 115,175.39/160.13
  6. Step 6: Final answer
    x = 719.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.