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Finding the Third Proportional to 184,568 and 282,945

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Solution

The third proportional to 184,568 and 282,945 is: 433,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,568 : 282,945 = 282,945 : x
  2. Step 2: Convert to fraction form
    184,568/282,945 = 282,945/x
  3. Step 3: Cross multiply
    184,568x = 282,945 × 282,945
  4. Step 4: Simplify right side
    184,568x = 80,057,873,025
  5. Step 5: Solve for x
    x = 80,057,873,025/184,568
  6. Step 6: Final answer
    x = 433,758.14

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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.