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Finding the Third Proportional to 241,910 and 384,250

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Solution

The third proportional to 241,910 and 384,250 is: 610,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,910 : 384,250 = 384,250 : x
  2. Step 2: Convert to fraction form
    241,910/384,250 = 384,250/x
  3. Step 3: Cross multiply
    241,910x = 384,250 × 384,250
  4. Step 4: Simplify right side
    241,910x = 147,648,062,500
  5. Step 5: Solve for x
    x = 147,648,062,500/241,910
  6. Step 6: Final answer
    x = 610,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.