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Finding the Third Proportional to 181,216 and 384,356

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Solution

The third proportional to 181,216 and 384,356 is: 815,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,216 : 384,356 = 384,356 : x
  2. Step 2: Convert to fraction form
    181,216/384,356 = 384,356/x
  3. Step 3: Cross multiply
    181,216x = 384,356 × 384,356
  4. Step 4: Simplify right side
    181,216x = 147,729,534,736
  5. Step 5: Solve for x
    x = 147,729,534,736/181,216
  6. Step 6: Final answer
    x = 815,212.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.