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Finding the Third Proportional to 151,211.50 and 222,437.25

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Solution

The third proportional to 151,211.50 and 222,437.25 is: 327,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,211.50 : 222,437.25 = 222,437.25 : x
  2. Step 2: Convert to fraction form
    151,211.50/222,437.25 = 222,437.25/x
  3. Step 3: Cross multiply
    151,211.50x = 222,437.25 × 222,437.25
  4. Step 4: Simplify right side
    151,211.50x = 49,478,330,187.56
  5. Step 5: Solve for x
    x = 49,478,330,187.56/151,211.50
  6. Step 6: Final answer
    x = 327,212.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.