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Finding the Third Proportional to 120.38 and 176.34

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Solution

The third proportional to 120.38 and 176.34 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 176.34 = 176.34 : x
  2. Step 2: Convert to fraction form
    120.38/176.34 = 176.34/x
  3. Step 3: Cross multiply
    120.38x = 176.34 × 176.34
  4. Step 4: Simplify right side
    120.38x = 31,097.12
  5. Step 5: Solve for x
    x = 31,097.12/120.38
  6. Step 6: Final answer
    x = 258.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.