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Finding the Third Proportional to 193,834 and 405,236

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Solution

The third proportional to 193,834 and 405,236 is: 847,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,834 : 405,236 = 405,236 : x
  2. Step 2: Convert to fraction form
    193,834/405,236 = 405,236/x
  3. Step 3: Cross multiply
    193,834x = 405,236 × 405,236
  4. Step 4: Simplify right side
    193,834x = 164,216,215,696
  5. Step 5: Solve for x
    x = 164,216,215,696/193,834
  6. Step 6: Final answer
    x = 847,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.