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Finding the Third Proportional to 193,920 and 405,408

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Solution

The third proportional to 193,920 and 405,408 is: 847,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,920 : 405,408 = 405,408 : x
  2. Step 2: Convert to fraction form
    193,920/405,408 = 405,408/x
  3. Step 3: Cross multiply
    193,920x = 405,408 × 405,408
  4. Step 4: Simplify right side
    193,920x = 164,355,646,464
  5. Step 5: Solve for x
    x = 164,355,646,464/193,920
  6. Step 6: Final answer
    x = 847,543.56

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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.