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Finding the Third Proportional to 94,218 and 192,756

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Solution

The third proportional to 94,218 and 192,756 is: 394,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,218 : 192,756 = 192,756 : x
  2. Step 2: Convert to fraction form
    94,218/192,756 = 192,756/x
  3. Step 3: Cross multiply
    94,218x = 192,756 × 192,756
  4. Step 4: Simplify right side
    94,218x = 37,154,875,536
  5. Step 5: Solve for x
    x = 37,154,875,536/94,218
  6. Step 6: Final answer
    x = 394,350.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.