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Finding the Third Proportional to 160.88 and 339.75

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Solution

The third proportional to 160.88 and 339.75 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 339.75 = 339.75 : x
  2. Step 2: Convert to fraction form
    160.88/339.75 = 339.75/x
  3. Step 3: Cross multiply
    160.88x = 339.75 × 339.75
  4. Step 4: Simplify right side
    160.88x = 115,430.06
  5. Step 5: Solve for x
    x = 115,430.06/160.88
  6. Step 6: Final answer
    x = 717.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.