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Finding the Third Proportional to 176.06 and 274.03

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Solution

The third proportional to 176.06 and 274.03 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 274.03 = 274.03 : x
  2. Step 2: Convert to fraction form
    176.06/274.03 = 274.03/x
  3. Step 3: Cross multiply
    176.06x = 274.03 × 274.03
  4. Step 4: Simplify right side
    176.06x = 75,093.13
  5. Step 5: Solve for x
    x = 75,093.13/176.06
  6. Step 6: Final answer
    x = 426.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.