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Finding the Third Proportional to 160.00 and 337.55

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Solution

The third proportional to 160.00 and 337.55 is: 712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 337.55 = 337.55 : x
  2. Step 2: Convert to fraction form
    160.00/337.55 = 337.55/x
  3. Step 3: Cross multiply
    160.00x = 337.55 × 337.55
  4. Step 4: Simplify right side
    160.00x = 113,941.85
  5. Step 5: Solve for x
    x = 113,941.85/160.00
  6. Step 6: Final answer
    x = 712.15

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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.