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Finding the Third Proportional to 152,418 and 231,667

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Solution

The third proportional to 152,418 and 231,667 is: 352,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,418 : 231,667 = 231,667 : x
  2. Step 2: Convert to fraction form
    152,418/231,667 = 231,667/x
  3. Step 3: Cross multiply
    152,418x = 231,667 × 231,667
  4. Step 4: Simplify right side
    152,418x = 53,669,598,889
  5. Step 5: Solve for x
    x = 53,669,598,889/152,418
  6. Step 6: Final answer
    x = 352,121.13

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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.