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Finding the Third Proportional to 104,802 and 214,458

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Solution

The third proportional to 104,802 and 214,458 is: 438,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,802 : 214,458 = 214,458 : x
  2. Step 2: Convert to fraction form
    104,802/214,458 = 214,458/x
  3. Step 3: Cross multiply
    104,802x = 214,458 × 214,458
  4. Step 4: Simplify right side
    104,802x = 45,992,233,764
  5. Step 5: Solve for x
    x = 45,992,233,764/104,802
  6. Step 6: Final answer
    x = 438,848.82

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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.