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Finding the Third Proportional to 184,561 and 282,936

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Solution

The third proportional to 184,561 and 282,936 is: 433,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561 : 282,936 = 282,936 : x
  2. Step 2: Convert to fraction form
    184,561/282,936 = 282,936/x
  3. Step 3: Cross multiply
    184,561x = 282,936 × 282,936
  4. Step 4: Simplify right side
    184,561x = 80,052,780,096
  5. Step 5: Solve for x
    x = 80,052,780,096/184,561
  6. Step 6: Final answer
    x = 433,747.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.