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Finding the Third Proportional to 241,208 and 354,589

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Solution

The third proportional to 241,208 and 354,589 is: 521,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,208 : 354,589 = 354,589 : x
  2. Step 2: Convert to fraction form
    241,208/354,589 = 354,589/x
  3. Step 3: Cross multiply
    241,208x = 354,589 × 354,589
  4. Step 4: Simplify right side
    241,208x = 125,733,358,921
  5. Step 5: Solve for x
    x = 125,733,358,921/241,208
  6. Step 6: Final answer
    x = 521,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.