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Finding the Third Proportional to 111,232 and 231,672

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Solution

The third proportional to 111,232 and 231,672 is: 482,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232 : 231,672 = 231,672 : x
  2. Step 2: Convert to fraction form
    111,232/231,672 = 231,672/x
  3. Step 3: Cross multiply
    111,232x = 231,672 × 231,672
  4. Step 4: Simplify right side
    111,232x = 53,671,915,584
  5. Step 5: Solve for x
    x = 53,671,915,584/111,232
  6. Step 6: Final answer
    x = 482,522.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.