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Finding the Third Proportional to 184,212.75 and 275,178

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Solution

The third proportional to 184,212.75 and 275,178 is: 411,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,212.75 : 275,178 = 275,178 : x
  2. Step 2: Convert to fraction form
    184,212.75/275,178 = 275,178/x
  3. Step 3: Cross multiply
    184,212.75x = 275,178 × 275,178
  4. Step 4: Simplify right side
    184,212.75x = 75,722,931,684
  5. Step 5: Solve for x
    x = 75,722,931,684/184,212.75
  6. Step 6: Final answer
    x = 411,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.