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Finding the Third Proportional to 131,878.13 and 204,074.44

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Solution

The third proportional to 131,878.13 and 204,074.44 is: 315,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,878.13 : 204,074.44 = 204,074.44 : x
  2. Step 2: Convert to fraction form
    131,878.13/204,074.44 = 204,074.44/x
  3. Step 3: Cross multiply
    131,878.13x = 204,074.44 × 204,074.44
  4. Step 4: Simplify right side
    131,878.13x = 41,646,376,040.94
  5. Step 5: Solve for x
    x = 41,646,376,040.94/131,878.13
  6. Step 6: Final answer
    x = 315,794.42

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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.