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Finding the Third Proportional to 184,234 and 381,588

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Solution

The third proportional to 184,234 and 381,588 is: 790,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,234 : 381,588 = 381,588 : x
  2. Step 2: Convert to fraction form
    184,234/381,588 = 381,588/x
  3. Step 3: Cross multiply
    184,234x = 381,588 × 381,588
  4. Step 4: Simplify right side
    184,234x = 145,609,401,744
  5. Step 5: Solve for x
    x = 145,609,401,744/184,234
  6. Step 6: Final answer
    x = 790,350.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.