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Finding the Third Proportional to 184,196.25 and 285,285.38

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Solution

The third proportional to 184,196.25 and 285,285.38 is: 441,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196.25 : 285,285.38 = 285,285.38 : x
  2. Step 2: Convert to fraction form
    184,196.25/285,285.38 = 285,285.38/x
  3. Step 3: Cross multiply
    184,196.25x = 285,285.38 × 285,285.38
  4. Step 4: Simplify right side
    184,196.25x = 81,387,745,188.89
  5. Step 5: Solve for x
    x = 81,387,745,188.89/184,196.25
  6. Step 6: Final answer
    x = 441,853.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.