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Finding the Third Proportional to 103,232 and 223,936

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Solution

The third proportional to 103,232 and 223,936 is: 485,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,232 : 223,936 = 223,936 : x
  2. Step 2: Convert to fraction form
    103,232/223,936 = 223,936/x
  3. Step 3: Cross multiply
    103,232x = 223,936 × 223,936
  4. Step 4: Simplify right side
    103,232x = 50,147,332,096
  5. Step 5: Solve for x
    x = 50,147,332,096/103,232
  6. Step 6: Final answer
    x = 485,773.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.