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Finding the Third Proportional to 373.22 and 506.67

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Solution

The third proportional to 373.22 and 506.67 is: 687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.22 : 506.67 = 506.67 : x
  2. Step 2: Convert to fraction form
    373.22/506.67 = 506.67/x
  3. Step 3: Cross multiply
    373.22x = 506.67 × 506.67
  4. Step 4: Simplify right side
    373.22x = 256,716.39
  5. Step 5: Solve for x
    x = 256,716.39/373.22
  6. Step 6: Final answer
    x = 687.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.