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Finding the Third Proportional to 182,765.11 and 407,553.54

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Solution

The third proportional to 182,765.11 and 407,553.54 is: 908,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,765.11 : 407,553.54 = 407,553.54 : x
  2. Step 2: Convert to fraction form
    182,765.11/407,553.54 = 407,553.54/x
  3. Step 3: Cross multiply
    182,765.11x = 407,553.54 × 407,553.54
  4. Step 4: Simplify right side
    182,765.11x = 166,099,887,202.37
  5. Step 5: Solve for x
    x = 166,099,887,202.37/182,765.11
  6. Step 6: Final answer
    x = 908,816.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.