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Finding the Third Proportional to 161 and 383.94

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Solution

The third proportional to 161 and 383.94 is: 915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 383.94 = 383.94 : x
  2. Step 2: Convert to fraction form
    161/383.94 = 383.94/x
  3. Step 3: Cross multiply
    161x = 383.94 × 383.94
  4. Step 4: Simplify right side
    161x = 147,408.00
  5. Step 5: Solve for x
    x = 147,408.00/161
  6. Step 6: Final answer
    x = 915.58

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.