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Finding the Third Proportional to 184,144 and 284,352

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Solution

The third proportional to 184,144 and 284,352 is: 439,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,144 : 284,352 = 284,352 : x
  2. Step 2: Convert to fraction form
    184,144/284,352 = 284,352/x
  3. Step 3: Cross multiply
    184,144x = 284,352 × 284,352
  4. Step 4: Simplify right side
    184,144x = 80,856,059,904
  5. Step 5: Solve for x
    x = 80,856,059,904/184,144
  6. Step 6: Final answer
    x = 439,091.47

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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.