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Finding the Third Proportional to 222,115.25 and 316,558.75

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Solution

The third proportional to 222,115.25 and 316,558.75 is: 451,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,115.25 : 316,558.75 = 316,558.75 : x
  2. Step 2: Convert to fraction form
    222,115.25/316,558.75 = 316,558.75/x
  3. Step 3: Cross multiply
    222,115.25x = 316,558.75 × 316,558.75
  4. Step 4: Simplify right side
    222,115.25x = 100,209,442,201.56
  5. Step 5: Solve for x
    x = 100,209,442,201.56/222,115.25
  6. Step 6: Final answer
    x = 451,159.67

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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.