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Finding the Third Proportional to 233.03 and 379.92

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Solution

The third proportional to 233.03 and 379.92 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 379.92 = 379.92 : x
  2. Step 2: Convert to fraction form
    233.03/379.92 = 379.92/x
  3. Step 3: Cross multiply
    233.03x = 379.92 × 379.92
  4. Step 4: Simplify right side
    233.03x = 144,342.86
  5. Step 5: Solve for x
    x = 144,342.86/233.03
  6. Step 6: Final answer
    x = 619.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.