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Finding the Third Proportional to 194,865.75 and 427,662

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Solution

The third proportional to 194,865.75 and 427,662 is: 938,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,865.75 : 427,662 = 427,662 : x
  2. Step 2: Convert to fraction form
    194,865.75/427,662 = 427,662/x
  3. Step 3: Cross multiply
    194,865.75x = 427,662 × 427,662
  4. Step 4: Simplify right side
    194,865.75x = 182,894,786,244
  5. Step 5: Solve for x
    x = 182,894,786,244/194,865.75
  6. Step 6: Final answer
    x = 938,568.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.