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Finding the Third Proportional to 184,400 and 284,788

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Solution

The third proportional to 184,400 and 284,788 is: 439,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,400 : 284,788 = 284,788 : x
  2. Step 2: Convert to fraction form
    184,400/284,788 = 284,788/x
  3. Step 3: Cross multiply
    184,400x = 284,788 × 284,788
  4. Step 4: Simplify right side
    184,400x = 81,104,204,944
  5. Step 5: Solve for x
    x = 81,104,204,944/184,400
  6. Step 6: Final answer
    x = 439,827.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.