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Finding the Third Proportional to 173.39 and 265.57

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Solution

The third proportional to 173.39 and 265.57 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.39 : 265.57 = 265.57 : x
  2. Step 2: Convert to fraction form
    173.39/265.57 = 265.57/x
  3. Step 3: Cross multiply
    173.39x = 265.57 × 265.57
  4. Step 4: Simplify right side
    173.39x = 70,527.59
  5. Step 5: Solve for x
    x = 70,527.59/173.39
  6. Step 6: Final answer
    x = 406.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.