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Finding the Third Proportional to 184,668.50 and 396,922

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Solution

The third proportional to 184,668.50 and 396,922 is: 853,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,668.50 : 396,922 = 396,922 : x
  2. Step 2: Convert to fraction form
    184,668.50/396,922 = 396,922/x
  3. Step 3: Cross multiply
    184,668.50x = 396,922 × 396,922
  4. Step 4: Simplify right side
    184,668.50x = 157,547,074,084
  5. Step 5: Solve for x
    x = 157,547,074,084/184,668.50
  6. Step 6: Final answer
    x = 853,134.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.