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Finding the Third Proportional to 241,204 and 354,579

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Solution

The third proportional to 241,204 and 354,579 is: 521,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,204 : 354,579 = 354,579 : x
  2. Step 2: Convert to fraction form
    241,204/354,579 = 354,579/x
  3. Step 3: Cross multiply
    241,204x = 354,579 × 354,579
  4. Step 4: Simplify right side
    241,204x = 125,726,267,241
  5. Step 5: Solve for x
    x = 125,726,267,241/241,204
  6. Step 6: Final answer
    x = 521,244.54

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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.