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Finding the Third Proportional to 193,408 and 298,859

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Solution

The third proportional to 193,408 and 298,859 is: 461,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,408 : 298,859 = 298,859 : x
  2. Step 2: Convert to fraction form
    193,408/298,859 = 298,859/x
  3. Step 3: Cross multiply
    193,408x = 298,859 × 298,859
  4. Step 4: Simplify right side
    193,408x = 89,316,701,881
  5. Step 5: Solve for x
    x = 89,316,701,881/193,408
  6. Step 6: Final answer
    x = 461,804.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.