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Finding the Third Proportional to 241,208 and 354,580

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Solution

The third proportional to 241,208 and 354,580 is: 521,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,208 : 354,580 = 354,580 : x
  2. Step 2: Convert to fraction form
    241,208/354,580 = 354,580/x
  3. Step 3: Cross multiply
    241,208x = 354,580 × 354,580
  4. Step 4: Simplify right side
    241,208x = 125,726,976,400
  5. Step 5: Solve for x
    x = 125,726,976,400/241,208
  6. Step 6: Final answer
    x = 521,238.83

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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.