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Finding the Third Proportional to 176.38 and 370.75

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Solution

The third proportional to 176.38 and 370.75 is: 779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 370.75 = 370.75 : x
  2. Step 2: Convert to fraction form
    176.38/370.75 = 370.75/x
  3. Step 3: Cross multiply
    176.38x = 370.75 × 370.75
  4. Step 4: Simplify right side
    176.38x = 137,455.56
  5. Step 5: Solve for x
    x = 137,455.56/176.38
  6. Step 6: Final answer
    x = 779.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.