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Finding the Third Proportional to 192,214 and 412,850

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Solution

The third proportional to 192,214 and 412,850 is: 886,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,214 : 412,850 = 412,850 : x
  2. Step 2: Convert to fraction form
    192,214/412,850 = 412,850/x
  3. Step 3: Cross multiply
    192,214x = 412,850 × 412,850
  4. Step 4: Simplify right side
    192,214x = 170,445,122,500
  5. Step 5: Solve for x
    x = 170,445,122,500/192,214
  6. Step 6: Final answer
    x = 886,746.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.