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Finding the Third Proportional to 184,238 and 382,324

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Solution

The third proportional to 184,238 and 382,324 is: 793,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,238 : 382,324 = 382,324 : x
  2. Step 2: Convert to fraction form
    184,238/382,324 = 382,324/x
  3. Step 3: Cross multiply
    184,238x = 382,324 × 382,324
  4. Step 4: Simplify right side
    184,238x = 146,171,640,976
  5. Step 5: Solve for x
    x = 146,171,640,976/184,238
  6. Step 6: Final answer
    x = 793,384.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.