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Finding the Third Proportional to 241,257 and 354,676

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Solution

The third proportional to 241,257 and 354,676 is: 521,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,257 : 354,676 = 354,676 : x
  2. Step 2: Convert to fraction form
    241,257/354,676 = 354,676/x
  3. Step 3: Cross multiply
    241,257x = 354,676 × 354,676
  4. Step 4: Simplify right side
    241,257x = 125,795,064,976
  5. Step 5: Solve for x
    x = 125,795,064,976/241,257
  6. Step 6: Final answer
    x = 521,415.19

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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.