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Finding the Third Proportional to 184,233 and 382,314

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Solution

The third proportional to 184,233 and 382,314 is: 793,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,233 : 382,314 = 382,314 : x
  2. Step 2: Convert to fraction form
    184,233/382,314 = 382,314/x
  3. Step 3: Cross multiply
    184,233x = 382,314 × 382,314
  4. Step 4: Simplify right side
    184,233x = 146,163,994,596
  5. Step 5: Solve for x
    x = 146,163,994,596/184,233
  6. Step 6: Final answer
    x = 793,364.89

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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.