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Finding the Third Proportional to 184,006.50 and 374,781

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Solution

The third proportional to 184,006.50 and 374,781 is: 763,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,006.50 : 374,781 = 374,781 : x
  2. Step 2: Convert to fraction form
    184,006.50/374,781 = 374,781/x
  3. Step 3: Cross multiply
    184,006.50x = 374,781 × 374,781
  4. Step 4: Simplify right side
    184,006.50x = 140,460,797,961
  5. Step 5: Solve for x
    x = 140,460,797,961/184,006.50
  6. Step 6: Final answer
    x = 763,346.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.