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Finding the Third Proportional to 257.53 and 343.69

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Solution

The third proportional to 257.53 and 343.69 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 343.69 = 343.69 : x
  2. Step 2: Convert to fraction form
    257.53/343.69 = 343.69/x
  3. Step 3: Cross multiply
    257.53x = 343.69 × 343.69
  4. Step 4: Simplify right side
    257.53x = 118,121.10
  5. Step 5: Solve for x
    x = 118,121.10/257.53
  6. Step 6: Final answer
    x = 458.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.