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Finding the Third Proportional to 236,406 and 354,609

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Solution

The third proportional to 236,406 and 354,609 is: 531,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,406 : 354,609 = 354,609 : x
  2. Step 2: Convert to fraction form
    236,406/354,609 = 354,609/x
  3. Step 3: Cross multiply
    236,406x = 354,609 × 354,609
  4. Step 4: Simplify right side
    236,406x = 125,747,542,881
  5. Step 5: Solve for x
    x = 125,747,542,881/236,406
  6. Step 6: Final answer
    x = 531,913.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.