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Finding the Third Proportional to 112,627.75 and 200,215

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Solution

The third proportional to 112,627.75 and 200,215 is: 355,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,627.75 : 200,215 = 200,215 : x
  2. Step 2: Convert to fraction form
    112,627.75/200,215 = 200,215/x
  3. Step 3: Cross multiply
    112,627.75x = 200,215 × 200,215
  4. Step 4: Simplify right side
    112,627.75x = 40,086,046,225
  5. Step 5: Solve for x
    x = 40,086,046,225/112,627.75
  6. Step 6: Final answer
    x = 355,916.25

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.