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Finding the Third Proportional to 184,732 and 398,306

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Solution

The third proportional to 184,732 and 398,306 is: 858,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732 : 398,306 = 398,306 : x
  2. Step 2: Convert to fraction form
    184,732/398,306 = 398,306/x
  3. Step 3: Cross multiply
    184,732x = 398,306 × 398,306
  4. Step 4: Simplify right side
    184,732x = 158,647,669,636
  5. Step 5: Solve for x
    x = 158,647,669,636/184,732
  6. Step 6: Final answer
    x = 858,799.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.