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Finding the Third Proportional to 181,450 and 363,630

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Solution

The third proportional to 181,450 and 363,630 is: 728,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,450 : 363,630 = 363,630 : x
  2. Step 2: Convert to fraction form
    181,450/363,630 = 363,630/x
  3. Step 3: Cross multiply
    181,450x = 363,630 × 363,630
  4. Step 4: Simplify right side
    181,450x = 132,226,776,900
  5. Step 5: Solve for x
    x = 132,226,776,900/181,450
  6. Step 6: Final answer
    x = 728,722.94

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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.