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Finding the Third Proportional to 192,239.16 and 420,682.78

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Solution

The third proportional to 192,239.16 and 420,682.78 is: 920,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,239.16 : 420,682.78 = 420,682.78 : x
  2. Step 2: Convert to fraction form
    192,239.16/420,682.78 = 420,682.78/x
  3. Step 3: Cross multiply
    192,239.16x = 420,682.78 × 420,682.78
  4. Step 4: Simplify right side
    192,239.16x = 176,974,002,440.24
  5. Step 5: Solve for x
    x = 176,974,002,440.24/192,239.16
  6. Step 6: Final answer
    x = 920,592.90

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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.