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Finding the Third Proportional to 181,450 and 363,628

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Solution

The third proportional to 181,450 and 363,628 is: 728,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,450 : 363,628 = 363,628 : x
  2. Step 2: Convert to fraction form
    181,450/363,628 = 363,628/x
  3. Step 3: Cross multiply
    181,450x = 363,628 × 363,628
  4. Step 4: Simplify right side
    181,450x = 132,225,322,384
  5. Step 5: Solve for x
    x = 132,225,322,384/181,450
  6. Step 6: Final answer
    x = 728,714.92

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.