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Finding the Third Proportional to 160.75 and 346.98

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Solution

The third proportional to 160.75 and 346.98 is: 748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 346.98 = 346.98 : x
  2. Step 2: Convert to fraction form
    160.75/346.98 = 346.98/x
  3. Step 3: Cross multiply
    160.75x = 346.98 × 346.98
  4. Step 4: Simplify right side
    160.75x = 120,392.73
  5. Step 5: Solve for x
    x = 120,392.73/160.75
  6. Step 6: Final answer
    x = 748.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.