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Finding the Third Proportional to 94,400 and 201,088

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Solution

The third proportional to 94,400 and 201,088 is: 428,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,400 : 201,088 = 201,088 : x
  2. Step 2: Convert to fraction form
    94,400/201,088 = 201,088/x
  3. Step 3: Cross multiply
    94,400x = 201,088 × 201,088
  4. Step 4: Simplify right side
    94,400x = 40,436,383,744
  5. Step 5: Solve for x
    x = 40,436,383,744/94,400
  6. Step 6: Final answer
    x = 428,351.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.