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Finding the Third Proportional to 152,725.50 and 222,162.75

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Solution

The third proportional to 152,725.50 and 222,162.75 is: 323,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,725.50 : 222,162.75 = 222,162.75 : x
  2. Step 2: Convert to fraction form
    152,725.50/222,162.75 = 222,162.75/x
  3. Step 3: Cross multiply
    152,725.50x = 222,162.75 × 222,162.75
  4. Step 4: Simplify right side
    152,725.50x = 49,356,287,487.56
  5. Step 5: Solve for x
    x = 49,356,287,487.56/152,725.50
  6. Step 6: Final answer
    x = 323,169.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.