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Finding the Third Proportional to 232,567 and 315,627

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Solution

The third proportional to 232,567 and 315,627 is: 428,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,567 : 315,627 = 315,627 : x
  2. Step 2: Convert to fraction form
    232,567/315,627 = 315,627/x
  3. Step 3: Cross multiply
    232,567x = 315,627 × 315,627
  4. Step 4: Simplify right side
    232,567x = 99,620,403,129
  5. Step 5: Solve for x
    x = 99,620,403,129/232,567
  6. Step 6: Final answer
    x = 428,351.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.