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Finding the Third Proportional to 104,285 and 229,306

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Solution

The third proportional to 104,285 and 229,306 is: 504,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,285 : 229,306 = 229,306 : x
  2. Step 2: Convert to fraction form
    104,285/229,306 = 229,306/x
  3. Step 3: Cross multiply
    104,285x = 229,306 × 229,306
  4. Step 4: Simplify right side
    104,285x = 52,581,241,636
  5. Step 5: Solve for x
    x = 52,581,241,636/104,285
  6. Step 6: Final answer
    x = 504,207.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.