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Finding the Third Proportional to 152,068 and 222,150

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Solution

The third proportional to 152,068 and 222,150 is: 324,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068 : 222,150 = 222,150 : x
  2. Step 2: Convert to fraction form
    152,068/222,150 = 222,150/x
  3. Step 3: Cross multiply
    152,068x = 222,150 × 222,150
  4. Step 4: Simplify right side
    152,068x = 49,350,622,500
  5. Step 5: Solve for x
    x = 49,350,622,500/152,068
  6. Step 6: Final answer
    x = 324,529.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.