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Finding the Third Proportional to 161.16 and 372.94

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Solution

The third proportional to 161.16 and 372.94 is: 863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 372.94 = 372.94 : x
  2. Step 2: Convert to fraction form
    161.16/372.94 = 372.94/x
  3. Step 3: Cross multiply
    161.16x = 372.94 × 372.94
  4. Step 4: Simplify right side
    161.16x = 139,082.38
  5. Step 5: Solve for x
    x = 139,082.38/161.16
  6. Step 6: Final answer
    x = 863.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.