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Finding the Third Proportional to 103.23 and 232.80

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Solution

The third proportional to 103.23 and 232.80 is: 524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.23 : 232.80 = 232.80 : x
  2. Step 2: Convert to fraction form
    103.23/232.80 = 232.80/x
  3. Step 3: Cross multiply
    103.23x = 232.80 × 232.80
  4. Step 4: Simplify right side
    103.23x = 54,193.93
  5. Step 5: Solve for x
    x = 54,193.93/103.23
  6. Step 6: Final answer
    x = 524.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.