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Finding the Third Proportional to 232,874 and 350,667

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Solution

The third proportional to 232,874 and 350,667 is: 528,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,874 : 350,667 = 350,667 : x
  2. Step 2: Convert to fraction form
    232,874/350,667 = 350,667/x
  3. Step 3: Cross multiply
    232,874x = 350,667 × 350,667
  4. Step 4: Simplify right side
    232,874x = 122,967,344,889
  5. Step 5: Solve for x
    x = 122,967,344,889/232,874
  6. Step 6: Final answer
    x = 528,042.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.