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Finding the Third Proportional to 193,908 and 405,383

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Solution

The third proportional to 193,908 and 405,383 is: 847,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,908 : 405,383 = 405,383 : x
  2. Step 2: Convert to fraction form
    193,908/405,383 = 405,383/x
  3. Step 3: Cross multiply
    193,908x = 405,383 × 405,383
  4. Step 4: Simplify right side
    193,908x = 164,335,376,689
  5. Step 5: Solve for x
    x = 164,335,376,689/193,908
  6. Step 6: Final answer
    x = 847,491.47

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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.