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Finding the Third Proportional to 236,667 and 516,105

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Solution

The third proportional to 236,667 and 516,105 is: 1,125,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,667 : 516,105 = 516,105 : x
  2. Step 2: Convert to fraction form
    236,667/516,105 = 516,105/x
  3. Step 3: Cross multiply
    236,667x = 516,105 × 516,105
  4. Step 4: Simplify right side
    236,667x = 266,364,371,025
  5. Step 5: Solve for x
    x = 266,364,371,025/236,667
  6. Step 6: Final answer
    x = 1,125,481.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.