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Finding the Third Proportional to 184,538 and 284,691

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Solution

The third proportional to 184,538 and 284,691 is: 439,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,538 : 284,691 = 284,691 : x
  2. Step 2: Convert to fraction form
    184,538/284,691 = 284,691/x
  3. Step 3: Cross multiply
    184,538x = 284,691 × 284,691
  4. Step 4: Simplify right side
    184,538x = 81,048,965,481
  5. Step 5: Solve for x
    x = 81,048,965,481/184,538
  6. Step 6: Final answer
    x = 439,199.33

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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.