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Finding the Third Proportional to 104,785 and 214,412

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Solution

The third proportional to 104,785 and 214,412 is: 438,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,785 : 214,412 = 214,412 : x
  2. Step 2: Convert to fraction form
    104,785/214,412 = 214,412/x
  3. Step 3: Cross multiply
    104,785x = 214,412 × 214,412
  4. Step 4: Simplify right side
    104,785x = 45,972,505,744
  5. Step 5: Solve for x
    x = 45,972,505,744/104,785
  6. Step 6: Final answer
    x = 438,731.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.