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Finding the Third Proportional to 160.75 and 341.13

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Solution

The third proportional to 160.75 and 341.13 is: 723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 341.13 = 341.13 : x
  2. Step 2: Convert to fraction form
    160.75/341.13 = 341.13/x
  3. Step 3: Cross multiply
    160.75x = 341.13 × 341.13
  4. Step 4: Simplify right side
    160.75x = 116,366.27
  5. Step 5: Solve for x
    x = 116,366.27/160.75
  6. Step 6: Final answer
    x = 723.90

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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.