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Finding the Third Proportional to 98,284 and 155,876

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Solution

The third proportional to 98,284 and 155,876 is: 247,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284 : 155,876 = 155,876 : x
  2. Step 2: Convert to fraction form
    98,284/155,876 = 155,876/x
  3. Step 3: Cross multiply
    98,284x = 155,876 × 155,876
  4. Step 4: Simplify right side
    98,284x = 24,297,327,376
  5. Step 5: Solve for x
    x = 24,297,327,376/98,284
  6. Step 6: Final answer
    x = 247,215.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.