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Finding the Third Proportional to 193,110.75 and 403,872.75

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Solution

The third proportional to 193,110.75 and 403,872.75 is: 844,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110.75 : 403,872.75 = 403,872.75 : x
  2. Step 2: Convert to fraction form
    193,110.75/403,872.75 = 403,872.75/x
  3. Step 3: Cross multiply
    193,110.75x = 403,872.75 × 403,872.75
  4. Step 4: Simplify right side
    193,110.75x = 163,113,198,192.56
  5. Step 5: Solve for x
    x = 163,113,198,192.56/193,110.75
  6. Step 6: Final answer
    x = 844,661.41

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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.