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Finding the Third Proportional to 133,174 and 286,110

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Solution

The third proportional to 133,174 and 286,110 is: 614,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,174 : 286,110 = 286,110 : x
  2. Step 2: Convert to fraction form
    133,174/286,110 = 286,110/x
  3. Step 3: Cross multiply
    133,174x = 286,110 × 286,110
  4. Step 4: Simplify right side
    133,174x = 81,858,932,100
  5. Step 5: Solve for x
    x = 81,858,932,100/133,174
  6. Step 6: Final answer
    x = 614,676.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.