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Finding the Third Proportional to 222,164.25 and 317,472.75

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Solution

The third proportional to 222,164.25 and 317,472.75 is: 453,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164.25 : 317,472.75 = 317,472.75 : x
  2. Step 2: Convert to fraction form
    222,164.25/317,472.75 = 317,472.75/x
  3. Step 3: Cross multiply
    222,164.25x = 317,472.75 × 317,472.75
  4. Step 4: Simplify right side
    222,164.25x = 100,788,946,992.56
  5. Step 5: Solve for x
    x = 100,788,946,992.56/222,164.25
  6. Step 6: Final answer
    x = 453,668.61

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.