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Finding the Third Proportional to 193,881 and 405,419

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Solution

The third proportional to 193,881 and 405,419 is: 847,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,881 : 405,419 = 405,419 : x
  2. Step 2: Convert to fraction form
    193,881/405,419 = 405,419/x
  3. Step 3: Cross multiply
    193,881x = 405,419 × 405,419
  4. Step 4: Simplify right side
    193,881x = 164,364,565,561
  5. Step 5: Solve for x
    x = 164,364,565,561/193,881
  6. Step 6: Final answer
    x = 847,760.05

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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.