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Finding the Third Proportional to 231,872 and 352,680

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Solution

The third proportional to 231,872 and 352,680 is: 536,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,872 : 352,680 = 352,680 : x
  2. Step 2: Convert to fraction form
    231,872/352,680 = 352,680/x
  3. Step 3: Cross multiply
    231,872x = 352,680 × 352,680
  4. Step 4: Simplify right side
    231,872x = 124,383,182,400
  5. Step 5: Solve for x
    x = 124,383,182,400/231,872
  6. Step 6: Final answer
    x = 536,430.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.