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Finding the Third Proportional to 176.19 and 264.31

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Solution

The third proportional to 176.19 and 264.31 is: 396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 264.31 = 264.31 : x
  2. Step 2: Convert to fraction form
    176.19/264.31 = 264.31/x
  3. Step 3: Cross multiply
    176.19x = 264.31 × 264.31
  4. Step 4: Simplify right side
    176.19x = 69,861.10
  5. Step 5: Solve for x
    x = 69,861.10/176.19
  6. Step 6: Final answer
    x = 396.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.