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Finding the Third Proportional to 159,696 and 244,408

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Solution

The third proportional to 159,696 and 244,408 is: 374,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696 : 244,408 = 244,408 : x
  2. Step 2: Convert to fraction form
    159,696/244,408 = 244,408/x
  3. Step 3: Cross multiply
    159,696x = 244,408 × 244,408
  4. Step 4: Simplify right side
    159,696x = 59,735,270,464
  5. Step 5: Solve for x
    x = 59,735,270,464/159,696
  6. Step 6: Final answer
    x = 374,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.