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Finding the Third Proportional to 184,945.50 and 404,136

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Solution

The third proportional to 184,945.50 and 404,136 is: 883,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,945.50 : 404,136 = 404,136 : x
  2. Step 2: Convert to fraction form
    184,945.50/404,136 = 404,136/x
  3. Step 3: Cross multiply
    184,945.50x = 404,136 × 404,136
  4. Step 4: Simplify right side
    184,945.50x = 163,325,906,496
  5. Step 5: Solve for x
    x = 163,325,906,496/184,945.50
  6. Step 6: Final answer
    x = 883,102.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.